Class 8th Mathematics AP Board Solution
Exercise 9.1- into 3 rectangles 4 Divide the given shapes as instructed
- into 3 rectangles square Divide the given shapes as instructed
- into 2 trapezium 8 Divide the given shapes as instructed
- 2 triangles and a rectangle square Divide the given shapes as instructed…
- Into 3 triangles 7 Divide the given shapes as instructed
- Find the area enclosed by each of the following figures
- Find the area enclosed by each of the following figures
- Find the area enclosed by each of the following figures
- Calculate the area of a quadrilateral ABCD when length of the diagonal AC = 10…
- Diagram of the adjacent picture frame has outer dimensions28 cm × 24 cm and…
- Find the area of each of the following fields. All dimensions are in metres.…
- Find the area of each of the following fields. All dimensions are in metres.…
- The ratio of the length of the parallel sides of a trapezium is 5:3 and the…
- The floor of a building consists of around 3000 tiles which are rhombus shaped…
- There is a pentagonal shaped part as shown in figure. For finding its area Jyoti…
Exercise 9.2- A rectangular acrylic sheet is 36 cm by 25 cm. From it, 56 circular buttons,…
- Find the area of a circle inscribed in a square of side 28 cm. [Hint: Diameter…
- [Hint: d + d/2 + d/2 =42] d = 21 ∴ side of the square 21 cm Find the area of…
- Find the area of the shaded region in each of the following figures.…
- The adjacent figure consists of four small semi-circles of equal radii and two…
- The adjacent figure consists of four half circles and two quarter circles. If OA…
- In adjacent figure A, B, C and D are centers of equal circles which touch…
- The area of an equilateral triangle is 49√3 cm^2 . Taking each angular point as…
- Four equal circles, each of radius ‘a’ touch one another. Find the area between…
- Four equal circles are described about the four corners of a square so that…
- From a piece of cardboard, in the shape of a trapezium ABCD, and AB||CD and ∠BCD…
- A horse is placed for grazing inside a rectangular field 70m by 52 m and is…
- into 3 rectangles 4 Divide the given shapes as instructed
- into 3 rectangles square Divide the given shapes as instructed
- into 2 trapezium 8 Divide the given shapes as instructed
- 2 triangles and a rectangle square Divide the given shapes as instructed…
- Into 3 triangles 7 Divide the given shapes as instructed
- Find the area enclosed by each of the following figures
- Find the area enclosed by each of the following figures
- Find the area enclosed by each of the following figures
- Calculate the area of a quadrilateral ABCD when length of the diagonal AC = 10…
- Diagram of the adjacent picture frame has outer dimensions28 cm × 24 cm and…
- Find the area of each of the following fields. All dimensions are in metres.…
- Find the area of each of the following fields. All dimensions are in metres.…
- The ratio of the length of the parallel sides of a trapezium is 5:3 and the…
- The floor of a building consists of around 3000 tiles which are rhombus shaped…
- There is a pentagonal shaped part as shown in figure. For finding its area Jyoti…
- A rectangular acrylic sheet is 36 cm by 25 cm. From it, 56 circular buttons,…
- Find the area of a circle inscribed in a square of side 28 cm. [Hint: Diameter…
- [Hint: d + d/2 + d/2 =42] d = 21 ∴ side of the square 21 cm Find the area of…
- Find the area of the shaded region in each of the following figures.…
- The adjacent figure consists of four small semi-circles of equal radii and two…
- The adjacent figure consists of four half circles and two quarter circles. If OA…
- In adjacent figure A, B, C and D are centers of equal circles which touch…
- The area of an equilateral triangle is 49√3 cm^2 . Taking each angular point as…
- Four equal circles, each of radius ‘a’ touch one another. Find the area between…
- Four equal circles are described about the four corners of a square so that…
- From a piece of cardboard, in the shape of a trapezium ABCD, and AB||CD and ∠BCD…
- A horse is placed for grazing inside a rectangular field 70m by 52 m and is…
Exercise 9.1
Question 1.Divide the given shapes as instructed
into 3 rectangles
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIMAAABFCAIAAADmTsKYAAAAAXNSR0IArs4c6QAAAbhJREFUeF7tnEFKQ0EUBB1PIbjx/qdyI3iLr4IIQfFBqmkGprJ+3W9SFX4WQ7Ku63rwtQGBxw3O4BG+CGhil8/Bt4m11i4nOvUc6+d74uX56UAIr2/vm7zrGxP7HKtD5/PDt89b9nuiI33eoomZUWdCEx3O8xZNzIw6E5rocJ63aGJm1JnQRIfzvEUTM6POhCY6nOctmpgZdSY00eE8b9HEzKgzoYkO53mLJmZGnQlNdDjPWzQxM+pMaKLDed6iiZlRZ+L021NCOXvzerQJoiF+B+7TiehIZjWRpEm6NEHoJbOaSNIkXZog9JJZTSRpki5NEHrJrCaSNEmXJgi9ZFYTSZqkSxOEXjKriSRN0qUJQi+Z1USSJunSBKGXzGoiSZN0aYLQS2Y1kaRJurw9vZMe/Pn67ztwTdxpgsT+vAP36USQJrOaSNIkXZog9JJZTSRpki5NEHrJrCaSNEmXJgi9ZFYTSZqkSxOEXjKriSRN0qUJQi+Z1USSJunSBKGXzGoiSZN0aYLQS2Y1kaRJujRB6CWzmkjSJF2n/684YUey/91jk16znIBPJ84w06CJDEfeognOMNPwAeotP2rdx+pJAAAAAElFTkSuQmCC)
Answer:![](data:image/png;base64,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)
Question 2.Divide the given shapes as instructed
into 3 rectangles
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF8AAABMCAIAAACEbPyXAAAAAXNSR0IArs4c6QAAAS9JREFUeF7t3EEOwUAAhWHjEoQF9z+VjcQtqokN1Y70mTZp8llKjPrzeRuN0nXdzmOiwF6ZSgF1ajzUmVmnlOLr9ipQRlf5ej4uEeh2f7Q9donr/LjIvs7343I6jD7/z5ObOHNwkXZn5u60xb/p09hhJwXMDjvspAXYScvZHXbYSQuwk5azO+ywkxZgJy1nd9hhJy3ATlrO7rDDTlqAnbSc3WGHnbQAO2k5u8MOO2kBdtJydocddtIC7KTl7E6t3OQduZu4e7b/ZG2vs7/F9/3A9eqkuld93aCOb5ZVTv2xww47aQF20nJ2hx120gLspOXsDjvspAXYScvZHXbYSQuwk5azO+ywkxZgJy1nd9hhJy1Qe92q/920xAdofubvX4qbv+VGD7TKVjmly06t3BO/EDvApzXPXwAAAABJRU5ErkJggg==)
Answer:![](data:image/png;base64,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)
Question 3.Divide the given shapes as instructed
into 2 trapezium
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Question 4.Divide the given shapes as instructed
2 triangles and a rectangle
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Question 5.Divide the given shapes as instructed
Into 3 triangles
![](data:image/jpeg;base64,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)
Answer:![](data:image/png;base64,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)
Question 6.Find the area enclosed by each of the following figures
![](data:image/png;base64,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)
Answer:Side of square ACDE, a = 4 cm
As Area of square, Ar (ACDE) = a2 sq. cm
⇒ A(ACDE) = (4)2 = 16 sq.cm
Height of Δ ABC, h = 6 – 4 = 2 cm
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goIkkIlGq2nwjEfpJA/dJe4klXRJIYKtVQIaAQiEJAEYnSDYWAQmBrBP4HsjXjSAwp4eUAAAAASUVORK5CYII=)
![](data:image/png;base64,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)
⇒ Ar (ABC) = 4 sq.cm
Area enclosed by the figure, Area = Ar(ABC) + Ar (ACDE)
⇒ Area = 4 + 16
⇒ Area = 20 sq.cm
Question 7.Find the area enclosed by each of the following figures
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Area of square ABCF, Ar(ABCF) = (side)2
⇒ Ar(ABCF) = 182 = 324 sq.cm
Given Height of trapezium EDCF, h = 8 cm
As we know that,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeIAAAAsCAYAAAC5fLvTAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAB2kSURBVHhe7V1NcBvHlX4z8NFV0tnMLQBoUdxDUqbLBKW9xKJMQI51CFkV+kB6I/7kEgKOuAeLAUmIyiGURVIXE6CzIg+hEspbK8f8kfa2FkFtLZUqp0yLIgDfopxDVemkzMx+r2cGGAADEOCPQIo9ZVWZg+5+r7/+ef3+el4bHR0l+UgEJAISAYmAREAiUBsEXqsNWUlVIiARkAhIBCQCEgFGQApiOQ8kAhIBiYBEQCJQQwSkIK4h+JK0ROBlI9D59kl9/OqflIa5JIW9pI7GYsbL5kHSkwhIBPIRkIJYzgiJwDFAINr5tt7X1ab4hrmzvbT8w2PQadlFicARQUAK4iMyUJJNicBuEYh2ntRbxreUoTmDBpdayB/ebUuynkRAInAQCEhBfBCoyjYlAocIgdj8P9TzdUTr8zHynSQdrCmHiD3JikTg2CMgBfGxnwISAImAREAiIBGoJQJSENcSfUlbIiARkAhIBI49AlIQH/spIAGQCEgEJAISgVoiIAVxLdGXtCUCEgGJgETg2CMgBfGxnwISAImAREAiIBGoJQJSENcSfUlbIiARkAhIBI49AlIQH/spIAE4fghsUCqDXvuOX89ljyUChxEBKYgP46hIniQC+4hANNqpT/V1KQuJNRIXa+EJ+5FKHAjoTzvmKBH2qqOj8qrLfYRcNiURqAoBKYirgksWrjUCECrGytQ4jS000FBygNZjsSNxOUXniftG1+MOGhoEz/Mvl+dYbF6luvN0fhT/Cgdwe55e1pdQ+UCAsVPE2K0OUJtCakzedV3rJXXs6GMtat2P29VPLg9Q0Kd4MAf5kpuaPq+cIOaNGqd/CuP0z09gMk3nt+ePxGZd05lwBIiLsW3x0ULHMs0l22j+iAhhhnZ++7ySHCSjpauFGoeSRt36yxXGtR5eoZWf8SsL7Ys0mwyyVfyVEMLcr5v93Uo4niT+ekZgIkVrYd+h+5jGhxA+vsiaahgBmkitUt03iufHf295Ufhuc3NnoeTWViX1qp2D0aanmic0o+qGQT1LGp17rnr2gw7Womd1UNHOdp9Vv/zka+3daNSzeUDCuPPEPa0+8r/owzs0sQXc/eiDC60iQWxvdmGapDQ0jqO02WV5b1zGKX9dEVpItaN/BMpjghpKMEG9ywYdxg39IOZQTgibB6v52LoYqSwt89zl+jBO8bYMsRAPF5ULwELbSENzg9BU3Q9snU0njPGxMFlnO95uKdDbQXPxAfJSqXZtVgI0mU7SNrTg2Py2kpzrMFp8LdSQThr87ghMtz2zmBPCW0JI3d5+NczgQgjjcBE+vQghHFTTky1a9yG9PvQPED76UiME24ZqD6jbu0oGe7f1nG3bQvYXi/8sKWBj63UebalHCONK+KqmDNai58Fsu3a2/l/VU5tfa6cOSBjPb7/n0Rb/RfO8n8Pdjc9ijXhl3NqsFmgpM1BN32pfNrNEC9hoe4facLHuutBCztN8Hl/RzhPYCBeow9oca8/0K8jBQcwh0Sa+GpT0whydwwxmVyWaXDYeK0FK9OIAVreeFW5RCNCWYFgULlUu2tlkTHUFYaJKsPXEKLSe8GHOF1zDb8s4mLYJwbsy1UXBMNYHzMzbEN6l6Iu6Jvnsw8J4bpIMX9cU2osaR+mgu+uZirGLrPXQ4gMvBbGlxBzjt+s2D0NFa7/p+aSNEnFYPWLn1Va6Ta2vSv8OA8a+BgpgRR/EiZWF8a0bhlb/bzfVza8HtHYI41qZqYsE8cpdaFqTk7QRDtPCUqbYp3QYBqcUD+nHxApPYzkerTIdh7kfO/CGk6Iyyo49p0Q6RP3Z7zlka70wAZTwCfuoIVAMQGx9WxnqJeNu9qficrH5dQjStEGsLYe7+ICW1VTNQxuf7Jahha87tPA5Y3LBaWtxp+8dGKLe8FgRY95QBwVYkB/yg2402qT3nbmrXHwQd/Xn4hCDTyvi91X337njtjZs9CxSSFVeraAwsZcYdPoQrb2jwgpru8MjI0SPxmizhkyLtfjxHVrO/Ir+ygGMBU80+pbWf/bP6k//5zPYPIr9ydFO/N6N3792/73SruUJYiw8o0/ppYtGiBoWwhReWIIvLndqt02i3Dib+wZTfdQVTmAy5sxvvHn1ddlmvACE+hzVOXy0vKlmcELuGkM9y0wY4I3Oocm4MZ/fLgd8TsKcmAt8Yd5aYK7lJxEUgBqFptump/cNZdgkGvaZZcS3WZeJglZdt34NeDNUjuccLozDHPmXumgMNlCm5Na3chiZm39Y1C182N+d9I8Tm6XtMWDTdD590wzqbMfGofT45fjsPPHUMMfUnfedJtZ+zKEiGgWWjp14cP6+XjeqAKOyVYS2PDdpLAD38PgKtGqzeGZpwZzbg23A1DSF88Pl6TzCnvA1o3JPLLau1CFACuORX8wboo7AUTjo4oBBMxQ8Q7S0Gtej0WjWryuEtBpSNiBgEyqVFrCZZbqzZlCvpTVSARQszKe6x5Rw0p7xbPYfotnpNvLd6yc1FCfbr4k1q1JmSjvjjyhJ+A17l3Re66qx0qepoYSCV+Ld5fQv6aNInJL4O9C7RGsJNhv3ad2RBOrl3pWLFMf60fu7I0qcK/BaCEzQlVkR3CMwwFrSz1g0EyFhOdWfgnYc/NgBaNGmv+lq6HPw1Qy/7CzVL39E1yJJk68ek69RK1iNDyyZletK97UEJW2ajjK5tthfqtOg6CPKirZXacD3PX2/cp2K6p977hnd3Kw6GCn64QmtvyuiJsCLgTXQMzFL5+q+gY+2srYwrtrN7mtqOGn6zoU7p+cKzcYxrvd/SR7sYW6+X+AOwWbTJbr/N5yweWALnvxyNn++rA+ZBeTN7t+601ccAhVrsT3wMS0sZyj5Vz9BvSl4/GINXDir01cP4hrWQFZrFkLa87767S/+TD/5T7S5o3/9e3q9/yNtFD4u7nvzxBZF6vyC5zxBnJkag3lviOqw0XR2BIxw+DGlHWyxJmakJ4Wg2Bjro/GhQZpbbqCu4IIoZW/+jctpGl1HGzANdgURlrFsiOAUpw83nYybZr4+HwUTY3maiAvogqbdbs6c+BhNxw2OnGXeksu9+b7Tgg14ve68Yiw3osxG1m/HtGDFptL9snyA8DuX4lngYtFe6BrHASEJDSqmzOFw4AsGCcSyJs+dMLL7nhWeVoAS++znBrwQArkxyAoG0E9PBvLMoMIfafHkLOfs59JcHHzWKXPChAo+A73GCYzp+VH7XflxcRNCe51DroJNaB4B6sBU2s7Jw7JCsJOxv3sxz1RdtoLXLywpaxsp6oxHDdP3y8k+veT3Yo6UrVzdjyzImxrJWHsMf7cl9Ktr4eWU5mjr6GpKJ/hBQ2caKLU6IIQx0YrGQjgBIQxJWF7LTX8nxq7dJWfZ1pbDxgSl9CT5FGDe76fIt1voINxLbdNqauJbzR/JWSYxr9XVpR4IuERWfcH6U/XUpM4CeuNaPy3PTtPqwLSamWpB3ZASCPTqS77LtKrHrXfXlIlUmx725Q4WTkRZCHNbpxfBR9CnQnPAph5SLvg3aVGftg8k4KNX8NGzaB4I6iBUY49yLcXWf6DqS5eEML7TPQ5B/gB8KWpmpVfzhy4ogYYtfRh4GpTRbF/z1oNpgcMKcAglrtHEIPg0D0Do44Tg67trfXT9yiDdWjpFH4XugGCGbp6ppwh81cX1V7U6UqoKcmIhfMYXUbn/f3r+jefHr//9RVeoXlUW/6m9e2rngCmMK/pTr4aNT+mJ/oD8yvd0s7+ewt+mIJQxru9Ne7TUqRdn6iOqUwdl4XoW7xq+egK6fk97e+YF6qlh9NBpdSgs96PXp1502/xBULYT6p216GugrzroG6DvIIo57nmrQdcebqaRWeAvWlj8e/TBlkZo7/2zDfTkwYAQxhBqL1gIJyCEjXMhz/kdhfBDWsAcGJp7QP+c/p7uA4/Qx9309Mmqdqo96skKYlNIDmf9q6b5LEx3V+Lkuld0DCJQCEEzYJ3TIvjUv/J02FiDpjrX5iVWILxt5sk/fNfUMkxNYhSnDvhv7WCbwUkjkAgT9iR3Omh/ZRwaImvNoMdICXOipcGU5G+3e1VRv9DDKnhuHIpn01O8bYM0GUjkWRZEX8pgJNjG71DCBIYZ+CPDa6xplw+c8/pZjGxU3Gvm0w4WMscaGgn6vm1hbI9/uXEpJLYfc6jiDrgVTAQ5T1Ycn0W+bO/FKporNC+n6bEwCzSIey+qFcQVHQQsoV/KT/z202G9LVGJewzzI5WElQea6T6nAzmFsR+acWrOr1/vChEL4VQc0c/wje7e55umTWAcmAhis2Stet6IXp7Q73Tn+lz1vL4yzdYudZu11k7M68hDMtovUxgCNfcuQpvYbxQMbLEGZO030EaTIUQ/I78aSrwanZ3QFyAEv1yZphDOrG71yk2201fiOW06+u/YFz6n8J0lSg0M6KR41X+0jhgj9IhuXzUlOeMQSEQU5rPo4pX2QQh+HwT/ttE60krPbt8mah2hvPqDExrqq5vwukAQV7EO0P/fYY9qnqBb2Me/AUg/pO+xj0co/OU9Srz7vIK+Y+08hMb3aZDqv1Cgkc/r0cs3tIVuyhO8hUzx3ph8Z4J+/56P5wPLC0/0g0taJJEfrFVYjghypuVjk7/nQYx3SqxdQR+aqk0f86o0/Y00bX1maH612E/sFMZvniV6Mluv3fjofUpc+jM9mcbcBbyVrIFGzM3nSJe6GgMeP72k0cyMKvZXyP+cRszmP9a6LAFAlvnMFqKFoDUWqAmmSZJlSCgbaW2f/GmHDafcLMm1W6AOWRrMBq4I2k+lorBfVc3ggsK5/ps/VIIRTr6KafWMWeWHRQrWy4iw3XPf9ziHSmGdSfEBo3FnzdQRrCXM8Hf3Mnq7qLung0Axvf+rG4UgqIyP7dsx1w1yeHiYzZKV7MSgNVpsA0TlPGHsY7vqJKWwAVWSgpRJY+yMRvLBqsCNOy3TMN2rH/Q06wncLsJaa9PPB3F696qtrTHj9lWzZLSpsv6XK8XzukxQfV5VNrn3q4rSfMNHsKjnGLb2m2/5SjK28u3hYTybGgydvqtoXIoocX+SBVjugZ3C/sPcqqjNn4bI/8UXwqyNkfA0nTY07ONqanpA+wamXZgyS5LEuHo+uNSsJT6uVwPNPdpbs4N0x+vzYFz121evmuPaeaIEXVt4WmlUBcFaGB+Lv7xyniZotczf1mdtGgbI89NL77yYcdAn0D/H9MdM+tU+ecK4XicDB4atz1gIV5qH3EwNzmnjRxCaY2FmBbHwh8Fp61PCzKOBBWzyunaXmizzbyXMIz2BJ33Bgs6ZuE0f8RKNjy3QBujZZMoGWLkSNjWYxEsw7+2FZ5/JpDDxYy8yId0BI7u7K32IBGYfNkzShzQuK29k9msOFQ63rRWJaxkrfERAW101eqytAdsELA15Ld89U5a84yBgasQVMnuAxSBc9z31oxp2vT6sbGWD0hg7Nw0U7iI1tdyod48llKAfsQ9sRl6dpqCS87VWQ+/gylr7TTlVugrivtPYFz7fFPsC78+mj3hJuX7tDn0Lv6q9LzZU2OZe6xeSeRgRZlrNvonN/B1rgXf2Co51GFdPCulS3ddm1JB/hp3iGuIM6DkE137k7D6M1Lvzh7fM+SPQ31oE/d/m6C8i6BABgzWLjC43lEIQm5rafXZl5mlednBPNebfUhdowI+by/kU/tak0JyTVnBShfPNUczcOAPVOA6rJ7JnntMmk3nWpXIY2SwK7LEKepdh6j4CF1fs5xzaxTDtvUomJQz7gY6cRYf9uHAam/cyV/nMV3IQaPSXzdM/DKZpc38wL+MQvty0n9g0LczUls94r7djASu1Fe6f2aGTencorIT6P2Df80u78auyoTX3m+afFWjKlVUuKpX+jhtrt/aFDOcjE+cjbz1YhTJE2aC0CmSeGJ+cj3kV5mTyJL+fesF+3krqu3WhmS8mQXBWYaDXI1ujrMBSgXGFFjxCs1dOaN2hiBrqu0hIGq7AtL0zqBzotIZAp9EC3+xfwN9frOrzjyz6n4D++xH1As+rcyF3+o0+y4ztfqGJ8Huz31mH33urnm58dIGEmdryGe817cnUiFfuUgLCIg2VLS/rtu0i9LEEJSwfb3l4KtBQRS4o/Fmwf1eeP2m1WxDBTdbGuWdz6k5jviuezUZtnylZGy7/XYkWbwo1IYWzF3aYl5PMHd5bwvZlDpUYDDZPYR5W46+2W2pC3MLdiztffCJ89xwhHfLiMGrWbrvYC4GQKErjM8cV6UsIytuNy6Cku6Wg+/thmt5peu/0e54QxrWULCTiSVxzhGAtf7+P/cR50dRF7flOZ8eu0NcZ7Typn+k2lFsPzHY5IOlKj6GHNlLKlh7UfQoCw8qYQHfifXe/W/uN5b/12ZHijv2mUjN3Kfqm4BxReF+AaRNR37/TwmvNyo1biCi2rv0sNN2W7cvK77CvNhPX/+YLMgOzPsw3/VaOBaKEmzHtWfPfpc+Pg6nOwB9768Gv0B+hgXowrhrGVX0SH9DYnIvglwKWgHuzAro49db9NfcbB2pCCz+VfcPj41LO0ZoI5gL9//ga9E0N2PPJJUN7fyOtbk7n+4HNyGdVfedTYcl1ffKEMOaqH21Or371ghCs9SbWwJN4MC+aunKscyVfy+ZoQkstKRwTDvN0iVxdkQIy1GuEESX8dDmNKGn8zWZo3As8Tgjs4hQma0O185M5+rlvvDjP0tmRXLth6poKibxmO2raDHoyg5oqfgp4aHr61EgNIuIk3eeeg1wlz4mx3EUN3Hf74MHpLxVhhI5kTdII9V9HUFtWoNvJz25jYPOJ9Js5jvrNrFBf1/1iWMrkWrv52+13ebeWFaSa7dccKjmGO8QrYPDMwKoC/4YZoY7XF+2Wi8tlI/BxQOxdLhCsdrAd8osbl+eyc5ov9ODYtsksw+70S/ZHbOqIAncI/Yrn70ss6CaELe1XjevIoWFhTCJyurT26g0iPQQBm1+uIKbGJcppLUzXV+CCgd/VQCoTbotUDBZQVkpUtJMPYTN05/oKhaYh9DubqL/7fnFGS5mcXp7DhX5dt3cMrfCHX+nRw6GI0o39ht1IzBdHTa8130AAExF2i8IsrB1HZebaFAIwzajzzFRvVnCGuaY4rHxOd3BvQ8Si13/9msKJQ3mPiEAnpNMUPI760GLJ+BB+1PFriMZ2c/k/xIG2MIAr9y4W+4MH/dcioQvqpQ+2tFOnCNHLP36RuTmuXjd+TT95w5nC5NaWxdvDCMa1jd597uf9GilJSD3DuNZbfmdY/AjxXNm+sA+2s/0dLRK5pt74YFarO9Xuaf/Ryov+7v/GtZy5fghf7ScI4BL8PQF/KIfo6szN6xZ/PkQ0Q8jb9ENMn3N9VdVw03ozabjqm6k96MWHUIg2C9PrnJqwJYQt7dczrX2lCWFMInJ6B02fsTIDs8STMu+8sA8Yr/XBcSOyUtcQcRqYNOxrLc1TO/so+UnAZ4OA7XQDNjbTa8C5uoU3EbFfLj3ZK1KWUA9+5vvIIx6iQfg4OZWSU2qGegNG0PKR3n+KO4PjQzSOhcztIWXH9Q5e0S5Scbhdjopl/wnn56YhqOzDgzNHtmxbeTwEkGucxMKaImcOsrNf1fIcQMhbF/zs7CcfDkDDWp7L05p2wsg2SZuYC/Sz/noYLawUsdwY2Jhl+QSWvgTnbwP3uQ7awIUUNh5xH/rpGD+ua76z8pYxLo0l3nGKhNtjzpP9m0NuNHIHmOJ4BfsQIJByBEvxn6afzUx7Gmgz76kuLDc8zHmrk7TsyEm3eTBv40obftxdPpad0zz5THwhR8lrpZdl23WsIVfA8FL40jGYc4UWqFIVavUem9Tj0xNYZ3yVZ/7d0BxoFUfKEI2nlUGDdC+5pwLZgi0S+lJZ1Nv0ILTcnCnbByGNFYPNEo/OZtRAL8zfHAhmRWNzutIVBHSFEhD6PK8nMK9nMa/9D4nzd5E3rP8GgT9n/CNCOOe/iyDPFi/h7+z12+Xy33H6UGGkOadDpZCa1B1CPGzE5muJtpgvW2NFHrGdu2zTdGvLHroA3aFuNcL7gs7zZ2JxVkR32webK5fQx49Nei2I2J6NX6FPE4hORx8N9DHeedLqo0EzePfdREpfs3gXGNn1DdKy9We4vgf1NS3e9HfCVZEif3UmdJYaUqvab14vfneKEDW8HvOkJnq0rgv16oyBIC2RR3wF+7hPRFFHkbdt3wFtt8X1cvdA+6mjmce1ntcb6rOLGMFNnBuuYJQ5F7x+RNwhPQP+CPydOxX1eNs7aWmzm4IX/Jw7rom841vttPHmWl455m8L/HVfeLOAPy+PD9rHvGL6Fwrpi/HLi3AWaxEugt97FeFbLroZAIfmx6dvIDArq91nc7JjsUee6a0bGl3PqL/+maHBglPkf46+hfuy38d92Tr6euEMNWwBd4zl2XrMV/EO/V/UtNfqRkeVXGDmtojW5ce8jIBTjXLP+vw2MnlGc7dt2TY8R5l55KXml8mlKnExzuUdRbqT+fBvOCXYdMpEJLHPLa9dRwqU4Ne+bcrmpUxbeTygHGdSletXNTzjQn9hTrZ7iHSgom20HEZF/XDWBt4xkU3lGANHP/P4RMLtvLOsWz+reEdtTQZrnfb1oTlhVThP9j6HXOWO0E59NDaFPGdHgWxKXNFnhXKFOLVOzGpOQ3Mtt80pZ65kRftuXy5ifK0UvPx2c/13a9DW0ndKR3NlZpcv7UCevPuyA71wEcUp7C2d8oQ0QbUO5kl7TygkH5v/R9nfs+UxdhMBP127eZlCOOzZkeDcPrXii1D8L1v4GVJ48seCA7pG7IF7Zs7rVtzK1Mp1Hl0lzvjJ/l3lu1FH3q+zf8JvPTJq0hBPLrXI2m/UEfye+/kqlWqLy5y+sipyje1DyLNHt8mZc7z+A/RxxEaBaRG9gT6OlOrPs9t03gGTa/1hu/4YXaU3SNxkZT3PQMDt3TPr9z9sw79qY8zvnuX6HyPrVixHW3Y9gc38uodaW/Ef/uWNazZi2dMK3rK/WbdrQfR46I1WGkFKVhZzzsyyyzpu4cIeWpI/1N2JvmjezEdW1E83casWzM1/dPkYQ2z+keeNNwjj4R5tzddklv0dfuph8J/F/Y88FnBV4905++VfxhzpS7kpJf9PIlCEwEofXAi4qKVWH5mwtVO+ihJfXzLmBqqJMzgcAyqEcNcCrA678y3vthf3cGkO8pFhcUqZF1Sk72l9/jYFMpGW9bgedNEKd0vLrZ4z/YkmF/WfD0QrSn3aTx5kWxIBJwKmH/kOLg/5uuQXkV4mYq/cZxBfJnjHiRZr2/D717TLWVMxfO9dLSl8jzgqblWrKVMVEudgu5ZxfI8YAV4v+3vEgkW4chJBv8gVhlVFHZwM6DMDCeXuvWkIZ0BYYb5yhd0tKmYLYz++R9zdkubvEZcP8totIVlPIrADAvw94jPj+B7xrQfye8Sv0mwxzY3FfttXqY+HpS/CVIxwzvPnYU6u5DqbQ8K4+BJYXWkT+EGyKaKv+W4wx+0gZm72XuN/q+OahXF27GB+ribGsjpKh6O0eVXmCO6aNv26BF9vwnFf9+Hg8vhxwd8jbq17Ro9gni/hmXjpoEiNeB8g50CpUn7bfWheNiER2HcE7v1XAjG1+MDLe0gFKbzyat+pHc8GOYiq0Hft9AsfT1Rkr90QkIJYzguJwDFDgPN3W/yk9C7jBqtyX046ZrjI7koEaoWAFMS1Ql7SlQjUAAGRG9yCNBncnMRRvOU+BVgD9iRJicCxREAK4mM57LLTxxEBWwiHG5fwQW4zcOs44iD7LBE4bAhIQXzYRkTyIxE4IAQ4jSmMG/RS/HH2uIG7Atxzpw+IvGxWIiARKIGAFMRyakgEjgECnSfv6/77k0oqCSFs3ZIVffup3rI1qKyFvdJEfQzmgOzi4UVACuLDOzaSM4nAviBgB2dNbOHCeghhvtKRzdQrffAVN1zeFxqyEYmARGD3CEhBvHvsZE2JwJFA4N74gPiCzRrkLh6dM97t743juynykQhIBGqMgBTENR4ASV4icNAIlP2c4jbuLD7gW7UOun+yfYnAUUdACuKjPoKSf4mAREAiIBE40ghIQXykh08yLxGQCEgEJAJHHYH/B8MP159c6qSeAAAAAElFTkSuQmCC)
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![](data:image/png;base64,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)
⇒ Ar(EDCF) = 100 sq.cm
Area of given figure, Req. area = Ar(EDCF) + Ar(ABCF)
⇒ Req. area = 100 + 324 = 424 sq.cm
∴ Area of given figure is 424 sq. cm
Question 8.Find the area enclosed by each of the following figures
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Area of rectangle ABCD, Ar(ABCD) = BC × CD
⇒ Ar(ABCD) = 20 × 15 = 300 sq.cm
Given height of trapezium, h = 8 cm
Sum of parallel sides of trapezium = EF + AD
⇒ 6 + 15 = 21 cm
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Ar(EFAD) = 84 sq.cm
Now, required area = Ar(EFAD) + Ar(ABCD)
⇒ 84 + 300
⇒ 384 sq.cm
∴ Area of given figure is 384 sq.cm
Question 9.Calculate the area of a quadrilateral ABCD when length of the diagonal AC = 10 cm and the lengths of perpendiculars from B and D on AC 5 cm and 6 cm be respectively.
Answer:![](data:image/jpeg;base64,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)
Since the quadrilateral can be divided into two triangles, therefore the area of the figure is equal to the sum of these triangles.
As we know that,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ A1 = 25 sq.cm
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ A2 = 30 sq.cm
Required Area = A1 + A2
⇒ 25 + 30
⇒ 55 sq.cm
∴ the area of quadrilateral ABCD is 55 sq.cm
Question 10.Diagram of the adjacent picture frame has outer dimensions28 cm × 24 cm and inner dimensions 20 cm × 16 cm. Find the area of shaded part of frame if width of each section is the same.
![](data:image/png;base64,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)
Answer:We can see that the shaded region represents a trapezium, with the parallel sides are of length 20cm and 28 cm
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOYAAABwCAIAAACFN5uyAAAAAXNSR0IArs4c6QAAGGdJREFUeF7tXQlclEeWp08aaKAPoEFFBQVF8MILNMYrmdFo4k0y2UnMTuLsTCb3vesmMfvbqOMv42SMcSfjblQ8EmOUTGKMRyJBjMphPIKIJ6LI1dx0A33v/zv6ABHB/vqkPhS+rq569eq9f7+uV6/qfTyLxRJALiIB35EA33dYJZwSCVASIJAlOPAxCRDI+pjCCLsEsgQDPiYBAlkfUxhhl0CWYMDHJEAg62MKI+wSyBIM+JgEeCSU4KTGmpqaqqqqQkND+/Xrx5BSq9X19fUKhSIyMtJJ4qT57RIgkHUKFTdv3vzoo4/a29tra2uffPLJ2bNnX7p0ad26dWKxuKGh4a233kpOTnaqA9L4NgkQyDoFiq+++kokEs2dO/fixYsbN25ctWrV5s2bk5KSZs2adeTIkWvXrj3zzDO2Durq6i5cuBAXF9e/f/82+oJ51mq1I0aMqK6uhm1OSUkJCQlxiqE+0FiwcuXKPjBMVw1x+PDhiYmJoG4wGIqLi1NTU7Ozs2fMmCGXy41G44EDB6ZPny4UClGhpaVl9erVQHZBQcHIkSNLS0tfffVVvV6/b9++PXv2ALg5OTklJSXp6el8PnEwutMXkQ43aIZNValUUqnUbDYzGMVNa2srgMt0cOjQIVRYu3YtZgsREREmk0mpVD7//PMrVqwIDAxctmzZu+++i2kGJhjcMOS/VAhkOdBtfn4+5gCPP/44j2efaOEe9hK/mQ5qamowJcCNTCYTCAQAdGxsLKa8uGCq4b2hBHMMDrjxdxIEss5qODc3d//+/cuXLw8LCwPmgoKCsIbATBVgVvGS6QCmFMsIjp0Bo3iJFRvbjbOs9I32BLJO6TkrKwvf7FOmTMH6wJUrV2BT4Xvt3LmzqKho165dWC6wWdmpU6eeP38e9njTpk2Ys6IcE1kGsswNLtyQNce76oO4X3cVUXcVgEK8XV5efurUKXz1w6/Ctzywi6ltQkJCRkYG5gBMe8xcsRqwe/duTA+mTZuGEljl+Ph43EgkEhQCxJgkwJnDb6d48vfGZJHL3zXsd+MjEwO/U6m/D4hA1t817Hfj86WJgdls5AVg6YidHfqdLjw8oJbmxsLCU43NzWNHjxo8OB6S9jBDd+jeNyCLBfnt23ce+7kkSCxcMGf6rFkzvVOavstVZUXFU298cPK6xSIMkllq//rKgsXzH/LO4fgAZI0G/Zvvb9h4VCOQx5tNxtCW4g3P3b904TzvFKgvcqXXtS1c/p/Z2nHSqCEI2+l17cE3vv1q1aMTJ07wwuH4AGSzsvb+y18Lg5Mf4VtM+LaCQGVlX+7928sxsXEIe2Ihk7oCqIHgD5IyMEubTHoGs/WeXrVn3uLZCun67Eoo88fMUqDo4D9qMnSYajRx6o4tZJrbCtkmdH26LXNDVWB+OhXSZGiCTBPrSytBa3O2a0QeGJqOFwpMdCnLlJ1/thXDOtsRU42uw/ZoCeALhLcuFmRm/SAe9USASYdynkDccvPsk4Mv/n3DOrzyNtT6AGRXvLdmXX542MDRFpOBEqhQ0pK/aWhsxKD7njAbmdV4VgE0ZtiLVa5NPUwxDVmmzKZ9tgpVhreoX7driY4I0BXpG0ypqduulMkUMmzYK9CtmdcdWjHE6FJootP0sUPzjmStb1F/wRH9h6VMT0GpX8xclK1Jvcv82DljKgoEwtrLJwtPn5WMfCzARMmTJxBpys89IsvbsWUTAN3VKD1Z5gOQXbf+4xXf6sKGTLYYKRsQIAjUn936u4X3xY2ZYTYa2Sg+5ZdR+gC2qN8otWqRKeQz+rP+pivzBPYtAHYdMGUONXlAm1391l7sWLF2yiKSrcDCwxE3VKc2QNGtGEjZWaW574A/K87YdtZ32YUeGwVrOUvQ2gtNnP642CjTNfhMJ7Q0+AK+prH+iRdWlkUuCApVBCB+bOFZru7f+vLkuQ/N8SQ279C3D0D26pVLC17aeEP+oChEDjlrK87PVl3fuOY/AiViC77IO1it22wYa1M6VrKipBf66PiF3NucUFZb72Aq79x3j4g7y08HTsQi0Ym8vBdW77hhGcgXSfR1pQsmRn+5/vVeyMeNVX0AspDGn9Z9t33HDkmogm8xpifK1r79klypNBpNbhSUn3eFKPHF4qLDP2Q3a1tL25RtinF//m1iygBv3G/uA5D9saj+3ayy++P49/dvFgdKhiclC8WBBK+cf4ZEImraKuBZLlS0r/js4piBIWt/m4i5E+cdOUnQ26NfzW3GrUcrZBLeYzMSJqTdlzJ6XABfSPDqpNa7bG4wGPGvXW9KVIlnj1acuNx06FydKzpykqa3QzYrr6akonXBxKh+MrFOb7Bt8ndy2KR5NxKAg/DwuKh+8sDMo5XqZnZjpPdIzKshe7W6ddfJqlGDQmcmK4ymHrkl3iNZ3+UEC71RYaKlaaoydduXJ2u8bSBeDdntuZXNbaYlaVGhEsHtq+jeJkp/4sdotkxNko8ZHPpVYc2FW1qvGpr3QvZYSeOR8w0zUxSjB4VCgl4lNb9nBmENiZj/aHq0wWiGL6E3UtFDL7m8FLIt7catORVhQYKFE6ME1BlALxFXH2LDYLQkx4Y8MEp59EJDTnGD94zcSyH7daH6TFnLI+Oj4iKCiIn1HFx4CyZERYSKMUNr0LKn2z3HDNuzN0KWnvVXp8SGzkpRGIjX5TmMwA+LDhcvmaS6Ut26N6/ac4x06NkbIbvzpyp1iwFelzxYSLwuzwIFX3FwJ2A+dudVYwHHs8wwvXsdZE9ebvruTO39SfKJQ8P1xMR6GiPwIkICBY9OjtbqTFtzKmF3Pc2Rl0G2pc247WhFiEQIr8v7IoUeV5ZnGDCYzCmxIQ+OVP5YXH/sYqNnmHDo1bus7MGzdYXXWh5OjRyiCiKxA4+Dg2EAhhYbMmFEwoNFW3+s0LR7eDeSF0H2Vn375z9VJcQEzx6jxGkDL1EYYQMSwHxggEKyaFLUhQrt3nwP+2HeAlkc74DXVdWsz0hXyUPgdRGoeJcE8KWHsPmI/iG7TlRfr2nzIHPeAtnT11v2/Vybnhg+KSGcLGx5EBB36hpLNwibY+NBU6tx+7EqD3LoFZDVGcyZOZUiAW/JpGghn8S6PIiH7rqGoU2ND5uWJD/8S+3xSx7zw7wCsljVyr/WhFjX0GjidXkpXik/DBvA+bwlaSqpRLg522N+mOchW92kRzxwcGTQQ6kRdMZVcnmvBGBoB0VI5qVGnruBiZzaI4x6HrKf/1RZ3qBbPEmlDBGRWJdHQNCrTmFWZo9WJsSEfH686kZte6/aclLZw5A9V9byzc+1kxNk6ZTXRWwsJzp1LREkOwkLFj42WVWvMew8Vun+TXaehCzi11tyKjBDWpquChTx3T941+rWf6ljejBpaDiOOu8/XVtwrdnNA/UkZA+dqcu73DxnbERiTDCJdblZ8U52hweXYC4nCRRgW7Ob42EegyzOwW3LrRygDJw3NpLYVycB5P7mMDEIqs8dG3GqtPnAWbc++MljkP3iRNU1ddviNJUqXOwN+4Pcr3Vf7xF+2MPjIuMig3Yeq6pspHNPueXyDGSLyzXfnKqdMCT0vkQZ8brcomjuO8HyDjY0Z6Spapr1CLa7LcTuAcji7Bu8Lp3JsiQtGmfiyKyAezS5i6LBbIETNnFIOA4+nb7uJj/MA5DNPt+QW9L44EjFyFgp2U7gLnS5pB+YG5GQhwUfhNmxAdw9B3HdDdm6Fj0W81ThgQjPEvvqEhy5lyj8sMTo4LmpEYVX4Ye5IyGSuyGblV9zqap14STkzyFel3vB5bLeMItFCHeAUrItt6KmyeUJkdwK2cuV2t15NaMGSnF0lizEugxC7iaMBZ/IMBzEjbqhbt91wuX7Et0HWWA082hVm96cMTkmWCwgswJ3I8uV/RlN5inDZNjrDD/slxsaV3blxuOKx0oacN5t1kjFqNgQjNCloyLE3SwBnCJByH1pWjT0inyJLv0KdZOVxdHZrUcrsZ1i0SQV0vYTE+tmSLmhO8A0eUDIr0Yqc0saDv/iQj/MTZDdS6eJBV77ywJJrMsNAPJIF1Ri2vGUH4YN0K5LTOsOyJbWUGlikwcEP5CiIHj1CJjc0ymUGxMuXjgh8mp12958VyWmdQdkt+VWNbUZl6ZHkzSx7oGOB3tBPGzGCMXYuNA9+dXF5S5JTOtyyMLr+qGofmaycgxJE+tBKLmrayYxbUZ6NDJRIPGPK+JhroUsEjlt/rECxhV7K8nRWXfBxsP9IAiPpfeZKcrsYioyzzk3roXs1wXqonItpuQ440bSxHKuPK8lCFs7f3xkVLg482gFzttwy6cLIYs0sZ+fqBoeE4wMZASv3KrNy6nBD8MDbRAPu1zZmlXAsR/mQsjuOFaFT1jG5GgZ0sSSjEVejjKu2YORmpWiTImVfnGi+koVl4lpXQXZvMtNB8/VTRmOzZRhLo2FcC1qQo8bCWBuECRGQqToVr0pM5fLxLQugSwezrEl51aQmL94UhTyi7htvzo3wiZUOJKA0WwePRjPbFMeKarH84U4ouqaPQYHT9edLtPMRZrYqGCyiZsrVfkcHToxbQDMlixEmJlboeUoMS33VrayQffZ8ar4KOr4JYl1+RzOuGUYAIhVShaOjzp/U5tVwE1iWo4hiyNsO3IrcX4NsS58tojTxS0CfJEa9YCQkYokKjFtTZmag4RIHEP2dGnL1z+rJyaET04IJ16XLyKMc56xWBQeLMQDQuo0+h0/VTpPn0vIthvMyB0iEvJxUBjJYskOQ+fV4x8UjEZLalzojGTloXN1Jy41OTkoLiF74EwtcofgGNAQFUlY5KRe/Ko5k5h20YRIPI8JT8RFGN+Z4XEGWZxTwy5J7JVEBhHYV7Kw5YxW/K8tZonxqmBg49S1pm9/diohEmeQRb6QWw06LB0rpSRNrP9BjoMRAbU4s5DUX4ojjc4kpuUGssjp/A28rqHhUxLhdZFzXRwo2P9IUAmRpEI8IKSqSb/r+L0fxOUAslh7w8M5IGJkDRGL+GRhy//QxtWI9EZLWkI4zuLucyIxLQeQPXyu7vjlpl+PVo7oh6OzZBLLlX79kw4S02KHl0TEz8y5Rz/MWcjWNeuxsNVfHoiZNbGv/okyTkdFJ6alEiIVXG0+dE8JkZyF7Jd5NaW17XhUZLT/ponl8/lBwWKpVCwSCRj1oSQkRIx/uOFUoX2CGIILc8dGxkUFIbJQ1djrhEhOSbzklhan0nA2DY8v89ftLwKBoLZW/Zc1a15/+ZX8EydFIjFKKm6Vv/f2O/inVtfgZZ8AGneDxLexQip6NF1V2aD/7Hiv42H3DlmcRMOyMFYHHk2P8deHcyBLiEaj+eTj9QMHx82bv2jLp58U/XJGq9F8tn3rhLT0tCn37czc3NzcZLO1PB4/KEgMkywQUIIVAeBi6qVEIhIIhPSNGDS5076vUkIe7LQEGVyxr0+pz1xv6dUwBCtXruxVA1vl7PP1OIo4e3QEdmz5q9cFeOl1OoVCMW3GA0MT47Sa1prq6rDw8GNHs5/5/dPxQ+K+P3h42LARcoXCbDbzBYLGhvq//HnVgX37Bg6KU0REHjl04OdT+f/7yd8vX7okEos+/GDtxQslI0ePEQqF9yZzf2qFxLTRskBspcWaF84vIDzWw9Hdo5Wt0xi2HUWaWPH88VF+7HXh+eUhUikMKqTZ3mYqLy+Pjuk3OC4+dfykbZk7tn6aOTRxmCoGB6BNALfJaNyRuTlxWNK8+YsvFJ+HBg7s/+bC+aLnX3otP+/4zm1b/u3ZF6qrKw8f3E8gC3ni1PjQ6OCHUyMLrjQj1N9DvFKORM+rOtb8Kq/mSnUrjnrHyPw8TSxQa9AbxGJR/snjrRrNhIlptWq1RtOiUChlcnkAj9fa2gq84mqor6+8VT5l6vTJU+97ZOFi2F1lROTU6bMSh8dPnTrjgV/NGZY0ZGjC8OamJrS6N7H7UyushjKJafsrAvFsInVLTw/i3gtkcfps98nq5NjQmUgT68c2lgUIDxPQX86e/e7br5946unQ8JAzpwvr62sXLVmyJGNpRfmNU4X5AvqL3mgy4iYwUGQ0wCfGFQDPTMDnm0wBQqw1CAS4MZspe+xPyHNmLBBTRJgY8TAcxu55PKzXkMW0FVOCNqM5Iz0qqA88ElEgFBw+eDBrzxfPvvBiwvDBsAzBwdKgoGAeH/jD9h+eNEQaQAHUIpWGQn9qtVogsNy4XmqxUIFrGBIglMIv2SnUFboR3k/DA0KGhn9zSl10s0eJaXsN2Z8uNn5fVD8jRT56UJjfm1iYxrLrpW//+6vF58998vGG1158NTcnd/zESaromLdeeeW1l14YMHDQ2HETjNgQiie7hoX/es68DR9+8PJzf8z+4TAzW6DwCtRSfynjai1zxjb5VVt86oPFfGwAxxoCYlI9+c7GRuxehFhb2k0vbilBHsb3f5PQrw+k3QTCdO3tWHzV6XTwsQCWyKgohSLCYDBcL70KNA6OG4KVLExbGRxhkav8ZhkqDxocBx8L61+B4sBAiUSr1QD9EkmQVovMapaQEGmvxO5XIO1qMEh+9X/Zt/5ZqH5ncTwi/92Pt3eQ3ZZTsfH78uUzByyYGGUw9okdW0CtY7AA6MRlKwSOO4EPlanVA7oc67X0lMF+w0xkCV47gRIrXNVN+re/uIIV7b8tG6YMFXWD2l5MDK7TCYuSB0iRPB4a8fuPPjNAwAvf+7aLMai2wtvBB7Ay8wRUQ+VONwyC+4joej5MKjGtHA8IUV2uakU8tfuGvYAsDh00tplImtiea4LU7LkE4NbfnyTHETHk8Cqp6C4xbU8he/xi46Ff6mYkK8YOkvq919VzQZOaXEkA3z3BgdRB1zadeduxasOdj4fdZS5rNpk0LU26APE7eyrL67TvZQwZqJSQhBpc6YnQ6SQB+GH/yK785qdLc2LKJZbmEYlDZkyfFoxlRIerO8hev3ZtzfpNl241Y0pWLUl+4w8ZC8fJdYY+4XURMHWSQNfxD46iIjYyYpGw6PKN+X9crRGqeEFyvrZq2RTZx++/zhPYd2XcEbJYj1z66sfnTKPEoREBJr25LGf9Cw8sXThXrzPQK4zcX66h2hWfXfRErZ/Sxe7jwtYZE264y3X3Gj0i0L3rRx+Npqs4npF2uKddR4pflk5XviTjXlor2CmxTa1s0i/tZczqNS/A/NIb7xxsGBWsSgyw4BQhX3M1d9V82ct/Wm4b3h0h+/qK9zac6x86IDnADIzyDe2tA6v3rl75piQUu5bYiQbLnAP7zC3LCfUCY3OI/NBvw4u2hoSY6hQPVHTIKk5myNaXNIf0gOiG9mp4yYCM7oKWI/O+VWQsBarAGoGi+2Pp2MRqZsRKqcFCvcdCyNG5p95ih8Zo1YET+gUje3oUDCkr+12xZK3MsMqA0S4zptQuSRt9ZnC20dlwRYkBjLM6ZZt3EgLiyd0s0ztI3rai4biwYVMGW/E24naMdsAhqxgb2hwxalOltXNIQqCtLftx/xeW5GVsvkweX6dpSKr69NvP/6GMjGLodA3Z9lbNo39YccQwLSgsCmCn6glEjT/8d/y4ByNHzDQbu95JzkqaDvh0aRTszNkHcac7W11K/bQCmUBSx+sO3eCAEfMO84dH/TAkqB8Gk1Q8ikWL7Y0O+1XoaJV1IOwNU+ZQbifaqaata5ZpGydWEmx920smRMZwSjFo65oNnlEqZvi3joBtwZbbhuNwY+WWHSeasu3prxRrbM5Gh2GJ3QTBo7TIco2HC7LjZpRrr0dL1bptwkHorDVhon/WsbMfT1t9m3gZ/vgCobb2xt5d23RJy5BsiOaF365pGNu445/b/0cmV3QHWfTz3Gtvf3o1UaoaSlnZAJ7BaFLd3LHm7ZfDIvpbsJbuoDaGA9tmD+qVlVEbbjrIoiMOrJpicdORMgtQpg52VFL/erCx0opYBq8MeK2k2L+dd1M5YNKxeqdq1lE64Ikl7/Dh6dRjBwh1bOhYsxODjptn7LQ7NXf4zNmhbx+rTXrWMds/a/SHwoHnO4yCUqR9zLeJzoF/umZHS9X1EFhxOIzJYeRCAe/Z1//r02JV2MDRzFdH+5Xv1z859HdP/sY2hjtODM6ePb34jcxK+XRxiMxsMhpKf/jwX0f9/qnH7KMnd0QCLpBAq1az/I21X59tNonlYl3Ni48kvffmc479dLdiUFBQ+O66zaUNFpxEfHrRtOVPAem3fTBdwDQh2cclANTm5+dfKysfOSJxzJhUnEbqKWRRT9feVllxSyaTyxR32azQx6VMhu82CfRuW4zb2CIdEQncSQI9DdgSCRIJeIkECGS9RBGEjZ5KgEC2p5Ii9bxEAv8PyXIQElRDytMAAAAASUVORK5CYII=)
Height of trapezium = h
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKoAAAAtCAMAAAAJHQDQAAAAAXNSR0IArs4c6QAAAJBQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6Ojo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZmZmZpDbZrbbZrb/kDoAkGY6kLaQkLbbkNvbkNv/tmYAtmY6tmZmtpBmttv/tv//25A625Bm27Zm27aQ29v/2////7Zm/9uQ/9u2//+2///b7JsnngAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAClElEQVRYR+1Y23LbIBBFTtuQOnGj5ma1qUnrqnUDNv//d112QRKJRJkR4HTGPMiaMewe9nq0jJ3WsSygf1z+nKW7vdrOOh99WDefnqM3j29UH9czJUQd18212ad3N1X1fmOPtAv3NiZjd+v+1U/8g7mnugjtj8IRsUmeofdF9cD2Nb0zxQNQ9zeV3cYkX/0hFS0izrt0c44KhPlpK3Tkob6bhqqutq2FKvmDA1fCrIoPwkwSVHEtgwFgoR5quqVZNoyymtUDJdBc8vI5Cqq9GMFDr+RdQ1Bk4cPnDYuCKs6+QiquKEhF/mB1cdc5EV0JUFsKDFG51ccEndFNBVVux2F7Gai9/WyCSQdtulQ6qGhIa84CVu2hivO+3sQEgG4QqnVLgVjtKgBWRknejI1VEwdkzkNtT2bMLFdXsTBqYRWGu5X9V3Hww2+qbyXqKuu6FcYoQYV4nSys+guHfe/uDT7Tix/xRIlulaZ4JzBqO22dLqjeCrMKpzLBLcJXw9H/71TOmK4vRAe5WkzVKQY1yNUsCrn49uTyuhiw14o8rmYKx2INVWb9i1crhg8sO8utFkFKV+AGHldTwHL39Rr4+3IDDHn5yCiOkaj1bG2MfKSG+lqHz9UcW8A+qQzboY6JFcCjzz6yjjcleJm6s8/VuhZsoSLeGKipTTomz+dqsVCPEwBe1YyFWsKI4zq6XuT4Ebm9f7xMq+NB7btVC5/x+jt8FJmMt2kFuYUUSQEVKjL9CBhiyNWgkAIfQ1T9I4UR/bFLConZZHhjl2xakggejl2SCMwsxJtOZNY1UzyNXf6HFejMbwx+idlZmit3/SWNuJxShmOXnHrmy/bGLvPFZZTgj10yKpov2vJGIBSndbJAPgv8BXRoPQZBVE5WAAAAAElFTkSuQmCC)
As we know that,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Area = 96 sq.cm
∴ Area of the shaded part is 96 sq. cm
Question 11.Find the area of each of the following fields. All dimensions are in metres.
![](data:image/png;base64,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)
Answer:As we know that,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARYAAAAsCAYAAACg25cwAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAA76SURBVHhe7V29cyJHFn9DbS7npAyBllRbZeSqy4w1BJYDKyDBwQmyY1x1isyhhVVGYLTRMXvBkeA6Il3VAat84aoOh7KqjuFC5dYfsDP3ez0zMID4Hq1A21O15fVq+s17v379+n1160WxWCT5SAQkAhKBIBF4ESQxSUsiIBGQCDAC0rBIPZAISAQCR0AalsAh/XwJpg727PJFg/ZrHbqvl5TPFwkpuTQsUgc2RqCQOrCzaY3UcyaVoVaEqLcxVUlglxGQhmWXZ28LeC+k9uzDcp/yNZvOmoek6lvAlGThyRGQhuXJp2C3GSjV75VEGB5KvUTqHtm7LY3kPigEpGEJCklJRyIgERgiIA2LVAaJgEQgcASkYQkcUklQIiARkIZF6oBEQCIQOALSsAQOqSQoEZAISMMidUAiIBEIHAFpWAKH9HMneEP9weeOgZRfGhapAxshUCik7MtsmhpGl0TjLR5dRTd/PG5nTmoUvq/L1v6NEN7NwdKw7Oa8bQ3XpRIMRzhBiSL+THJ1X98aPiUjnxaBZ2dYvB1Uxw7KT7xiUmLHd83U3rWt6ixPnCqmPOA3wgPnkuwq9UrP68Dj2Hz3O/AAKVQslT5pV3Pqi2srmusqNutc/wN7oSvxMGVYxMI8VEmnCpmdHNV3aNKGvMdaVCz2FJ6gdACGunBwZyuaQZmWTeHep1fi+n1CsVsx8HATgDS7T4LxMCsEY7v7sjwkgTffoYDmu/DqzgodGcppyyJDg4EoLjZS9d8TIasVs0LJm7VC2WmPpV0msTlSg5qD3G7N3KBJDfCeyR/h8EqPeIISNO6Oi0NzaoNO5M6/W3Mrud1aBAqpL6yvov9Qvv/vyLOZMiztK+zMlQrd6Do1moPpuHlrxQNj5i2xTYzN49F952QFOUq9sCKu8OyVVhglX52HQKGAqxYOr+i483Ao41zFMPvn247uNslX+k849Fro7xt48o+AnPmbWHff+0iPGRYBhpKhYztJ+w2d9EaTap2C7YVDXkjA4zksOOtnKa0bIDqK/dkjyKZ1clIccRip8coAhysDeEXpC4xz0iAUz7QoEe7NdbnG6XLRoYKj+jk+VSvGMW+HCFf4gbvH/7EnQ5eDu2tbOXc+KioXeEfcH9Ii0tyxU3L9LUb6Hx26fnqL5JiN1bS8TKuNysoFQHMhGU0R5OSQlNrZBzViEd6PoEYBkVRpnwzSDolanartz5M4eqjRDfQivDAUH9Ae5tXJqa2nb2zELtMX8NQ99OPQyTzVqkfDVMDqOAcnXyubtrRhzrBPXV0dC2fYY8imc4p/zRl6RLzjhUGcoMn4QiHonAWdU2bpXP8DdO69p3P/I+YhiQ8wnXhlxAPWlBU651wM1lQ0xLphnWNNjRmWweUFGQA0jEx/6iRu6/otmT414p3bNisIJXS6uchSOX9GtdY+pbWGeMsJM3SKtUwq9kADN4qlNRWaY9ucm/DnQEzsVBEaYL2opBkXHJrYs24dm6TrKIJGmnrLyTuhlMxbp5UZz4VMeBi98ChX4U+CImqimXL9oYqf7RPL5T3LyDGJVbNWRRI5rNREIlYDRg4mTNPBICMSswkYytTeHd4Z5XRg2GE4p68kWIR3QBbgUchwNanQMW0AC+OyD+PpbGCeUTFgVIoLNhuiG7rINil/1sG7jBtjq/IGsLS+jeUU7Y7QyUvMh37Th9wIqZfQ64cACka+LjV+KGMD7ZBd5bUSJU3/AcnUjqWrBZFMZaNyGM0psSb41dSQ2X77MX2kKjAi1rlWCFGxFLLMS/GOn8/3ns4hOdxFcth8m/0YzSEP03TyML8w7QOyiLqKx4Pl8pAUPHxweaBhLubnh0IhB2DYGjc/EUmeUBzh0FW7SrhuY/o5OUMis65wBoNLjTAK1L47t7vYYWtHEapjsUaOknQSh+dz1cbEE4nSZKJIRdwvVi85d4wVzip23NDpFhbswe/wwivr1GWvBt/jMaV6TynUKnYDi30mf+suhwfkIhhMP7lV5Yjlq8OrGh1cu3SDLjKW18OdMsejd3LHlIFhMVzcZokicJmD96xxB5gn10FbgNLjVqH8i0+F52LWODzSsLm1yBTewuJ76E7ORl5rJJcHbhi/kr6ZdAtHJV5JjrwT6GTDl/VfF+cg5Ivl/wp7gapQsW4Xvju1FMNQbgdQxyiWAsKa9+Ucdb+s0N+PVKoKLdXcNfde/F28NPGwt3J5+FphndOjnMwt2pHCd3TKOvfPNlES43zDYj+BhwhXpsDD8alF78ADexzwGWY9I4+FE5+oBNVgpNkoUGTcKEwSiEXH7x90dprxCWJgD2LYaWH9U9VRSLXKmh/RhRT3PkWLREUuxVugq9Cc9+6kXEHRHdLx+F6CcHx/QmbfmE3w7oWLyBktwQBe4Q1j1nN+fr5UCRSKOzPMHVt8rKgc+vlCkPlcxsivhqVSTznOkG2soG/OmLhtwNNB/GPna2fYuOpKAk05wlPcUK83ky9O+xFAxyjzNERe0pc+JAuFV1Y2REr8Z43tjBcehV7FbAsLQ+nbtgWpQjR4u9xkM/zQufFwHDz4DYj6EgHn4mdoWAbNBnIeXVIVnUfZUBpndPeKDtxwYzE5vI4JAmMTCjcKqZzcRJP40uUbfM/7zNyE64MfRgwLCQ2YTr7B7FM/QckxNL4IB/fccHDQvkL2ATHxhPF+SMZFeD8mLvMMxmN+dxXay8wTh8gmyvmc99NUIA8Dg7zPWH/MU+K8SN6uHuVXLG8tOe/fkufYTFp/6JxjfIwLpdK3EdJQKIV8yju8eKpGqOsZskUfnvNzYVgcq3yNGN8eu13dS0CuEm7MakhDHsR1+xG/os/E7HSE69lx8zKry+C6sCezd/XVaS43YjzHsqkciOSrJlVugIubUD7nJCTyVMv0zMzDe5Y02xIKObrn65syo1TmS7k5LPIVDZablem3VpmnOnJ0CYTptTznBXXSsscifPeedXB+bPlGvE0ndPlnvTclJ6JJfTEFzjdC56IcCgmjpLo6Zxyt1gg3a24cj4V3yPgJmYhuxro+jhDrY+9cFOs7xJfwIESPDOJ2xFvLN965dCcqVDToI3WH0vISu/q6ijlz3FpyzOZicImzNidIeCd852p6i9rhl8B7xieDCoU2xfWhZsxqB+VGVIRUJCrNheHz+IHHybCFN8ZF+iYS4Min1Nxm0HrvXskjnNLccIqQzF3XM95cvkUIR2gfsZFxy6c+2WtZMr7Fm4O3rHNI+Had6pH4EnSuuDittYgp8fMXnvAoU8xe7IYvHJrRKyJiyXzG1jWN7lomsvL4fw57LstUJiR6ua1e3YddNIb9MaJXoXwxl9ERXZ3Sl0nRV+NVhZzEpZsTWkpctn/jPBzc3dn9syq2yOzsHphJmZeV4yGsXIPosTtM3i7VWNMdJrmXwntZTJ7gvVkd3pzzqNqucSGuDM1jrkt6uS0MkKgwwkAb3PqQjMDznp7rmfrW1ancTjrJdNE/I3asUTJ3kV4/wGJQ8vkTtTT4jf4NE+ClDTikKfzl1PrxSENXbR9VIDVk24OPWHMKrzmv5Dw5bpi8PVkmRebo3DBR6/asvPTLLPIuWNctGDjEVQeZO+tFVlFFPE9djc7jFdtr4x+W/QQBxJ7wmFrmPsrJTu6Fe0XgHtr+czhcYjUrGVFiBk3kaa7Rx5KnsxyqREg+8Y3ueSTKNDcPc33XQq9AnsoGMvmg55UJJ+dJ0EUpmeni66Dr9IL4k3z+vpG5tMZ4wAncVoeqdEn+Hhi/XE5JdyQz81hCSXiRHFUVNCfGVY/axP0ZIjnGyUKOPYel/encFMvIvRQR9LDwkQIH90MuS4vS/CK8n8BeLP/JAULZGCdqp4+NCOOCtgbCrxVJFWYn/eOVFp3cXiAvyNUPPHEu2Y8qcMvoG9x1VFHi1BjqLJPxEsjO9r0WzhvIN67LX4nyck7Zo8PouUheGlqIe1KG5eT+ZcZKayKmsRSFe3mcNQdo4ZpwOfpc9Jl44xQlEjIvv/z4Y84Z48/NxDPoXatqQudCSYNsDDSSzMMHK5fao6+YB/Fv4KEJHgooaZdKoZ9O41ZSxFVx6+rbD/QijIz9yIG6F5lwASYmFz8bc6569XtUi4ujbtwHTq/W0asx/s6otMx0OVFWRHnaefhnKDN735nT2SpiYP+3fSVrb/LHfsH9HFpjPOA9rmrOkkv8egv/d126i+SYoul+ZwxT4Od0aKLMP3EOqYAeoEN4f+VjPp/kdv66qPkrNYvwXn6lr/fmKDnqNUW6Cxx9O/N+GyK3DIThInj6Nvl1xn3ez53jGj26x8nqkT5NV7GWmSdCCSjBf4ZMjNaB90+r4ryJfMNOb2++f4GO4u+J17615+uirf8eDs1Zc6HJcbaNatJhd+rsUOEVWvO1pFL+lntZqqHi6/DQpbn/5Y3g4Wvw8LUHyq/o5P3VXcnhBLp7XQTx78/udPN6y+PpRommxC66f53jTaPn6HHK6UFL6jT3cVen0xQpQglVEw6Z17wY9Dclvc0QGLx9Q++gc81vkJ/xV4C+idJLUujGREiDSGaFlM0UQ9KwbDZHG4+ORDliNuji8my4Y3ot/ui9pRZc2q0/osSt977mxbMK94UYwTcvboy2JMAIDHXu7Z+dkBwhi9fi/84+pX/9CZsFwig3eFkLNGlY1oItuEHD/NEF8kfOUQz09qDgjDi/ZaKrdOFZmeB4WYeSqDBN/KZmR3GnTj2tQ16OeQQE+FBiv428zJtRjsXTuSZ07gjNdqUN73+RhuURJm5Vkl4PBXd7jp578WtLd/HhE/J8uPN4MrzbRWGeKc91GBfu23lI54KoOEvD8kwV56nEcqponHN5fje7PRWmu/hdaVh2cda2lOdhTxSuA12ma3hLxZBsBYCANCwBgChJ+Frz+VrQHb9jWM7n5ghIw7I5hpICEOCyszgDtuR1BxK0542ANCzPe34/iXTigqVrvunOd+Ma3+jXRwldei+fZA627SPSsGzbjOwYP16ytoIy5fAKU3HVJjK4+2c7Jo1kNygEpGEJCsnPlI64XQ2yd4d3CDt9OPzgjKh8PlMEpGH5TCc+KLHnXsEgfxNiUDDvHB1pWHZuyiTDEoHtR0Aalu2fI8mhRGDnEPg/s2l2yf36VOgAAAAASUVORK5CYII=)
And we have 3 triangles here, namely, Δ DEI, Δ DHC, Δ FGA
Therefore,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALUAAAAsCAMAAAAU5AkQAAAAAXNSR0IArs4c6QAAAJ9QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZmY6ZmaQZpCQZpDbZrbbZrb/kDoAkGY6kNv/tmYAtpBmttuQttvbttv/tv/btv//25A625Bm27Zm27aQ29uQ29u22////7Zm/7aQ/9uQ/9u2//+2///buHuBzQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAC4ElEQVRoQ+1Y63aTQBBmqW1Q22qp8Vpo0daiURHY938257ZsgE27eAgJ57B/2OAw883MN5caBMtZInDwCGze3x0cw1AA1VqdPA796NDy5eVDPj/UELUF9XTUWWK9xPrpCCwMmZAh4exmo76NlFIvvkwRJP31wncK55cPUyDysKHTt388xFikfJ14y44oqNOzNkadXon6MqKbTiHLKjy/b+7wM8G3K4T98r95y4q3lTn86lpHm0FQqE65FM26kyt2qI5BtEoV+kD34G+UyA0WjY7XAyLaV+b4uG8dhLLPHFFzdMreAMDrj+wQv9Ip/pJ/zhJzGxDs+gOXSyVPhzKw6hZqWQ/qd9+JIgUk/UcEuEoII5/i7JehCDlSRvCwTpmbZdRzUdbpKcKu4zci2VeGBtxCLev5SnbJMjq/2QBHC0MYnQJ3KfuivI7hF91/cuwlKZlJznOo4RPQwLSg41CGLx1C6KuxjiKJRFdKz6IuXz0GObkg+EgdF0cbtRA7k9qCyiViOQ6o+L1eNdXvUEbmOkLkpVjnrF9I+BpmNHsDZAF4g5xvo8bXTtR9lI0bykZXKtzGuq2MAfaE2qhzUoxdw/DZMKSOgd+czR5DrEm8ZQOaiBPQNt12ot5iSH2NuSwUAOyiLghLhg4JauKQo4AMr30ZYp10VaMwpCe0ZZ2hUUQNavPMqB+SQ6bbuTtfHbc65w5GS3q40Ayx+23UENgh1FhvUg8RJXw2VzLyyCHp8yEKMGfQNdML/IejtCTbRPrKhL/GDgLqWY8V0r6Gx8k3WM44ZjwbmfDEeZmptCeZIRzemYk+YDZWnzjIpTwdymAEOYXCxvqONus/NRjCU3uI3qyVOsXa2fsZcefL1E1QxdP8P854+zW1l1wqZu/hHtWAqfNRle5dGfX8uR27RM4I+cCWdBye2aF9HHj8UGR2L/X74Bik6I/KwntROQbIMjg1L2LzObK8zgz1fOK7IHVF4B+JpWC1BO5OBgAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
⇒ Ar(Δ DEI) = 1200 sq. m
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Ar(Δ DHC) = 1600 sq.m
And,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMIAAAAsCAMAAAAAcZfxAAAAAXNSR0IArs4c6QAAAKJQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZmY6ZmaQZpCQZpC2ZpDbZrbbZrb/kDoAkGY6kNv/tmYAtmY6tpA6tpBmttuQttv/tv/btv//25A625Bm27Zm27aQ29uQ29u22////7Zm/9uQ/9u2//+2///bGQSZcQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADFklEQVRoQ+1XC1ObQBDmYjX0oW2x6dug2NZKTRXC/f+/1t3b3XsAyVwizYQZbsYhA/v4vn3dmiTTmSIwpgisPt6MCW4X63qhTu5HTaG+uCtHTgHiP1E4hiKcsjBlYZAITIU0SBifaaScjft21tepUurF92eGYTd1/fN8l4WgvLjbzf7/l9b5u6edvNSvlzvJDy2s87MQsM7fs486Nb90DoUAxxT0agE/OOxWtX65b61vtN1L02H1YSQVQXOnsjtZqYhdk81x0UG5UkGGHhRF3amWrTDEx3mT7V4L1mEAIym+Uqzl6BzxGuSXn4kdvWoubxLOS0EUnGp8GppP1GZrfm6ynbQFfYchjObDb1NJlVLLPylArlMp7Orsr1SSsAqmo6gakkEYtiRB56fIocnekpCLWGvytgVRibFSQdhTznkVrtM3Vyuo6Uo+63zJtWfd6Nxf/K0qJkRIbkEvmCFiVD4BhdC2IRcIwhtxGIoCTo47J8dRqF/dM11D4QH+msyreaeKFPhDQZ0vzd9HCKA9LuaQeEehY5s/+YLIibEGMJL6/IlzKQVk9xngDOWFBUJjw1Ko4aqCYnOqHoUuZstJyTcw5yLRb1voeYKeQ6LAMGDC4MHyEApSSE0GMCnhNgucQUqYU91KoUuqRYEzHNjupWAdBqI4ZTDWGFRuY6FQmUgVyM61XGEaxYh6ql4vxBaSTUOvbds1jwuXL8+hByMhnCbWQkGehZkxhp1zQ4VlRDxVtBA7kWyXcjP02pZWMH0vXeM59GCwfpNBrA1YqRqASReuYefPj9lVon+AqK9qpbtF03nDQ86a7LPtGHi+fYc6FxhJprBfGnic/IIepUjS7UyFZ/oEO07yqW9TNft2u0QdUQXx+Nt5/YWiWtOzzzbRbgmGDgXGhpjFX1PWwNbLWeM+c7rvEhWR2B6RgTfVQl0layzVQ55h/18wF3fJnXZIGgP7kmExsNlDmjP3y6iPW3/HSmOPIXdkVN0NfGTA4uEUdkmI1zkuSXN1V9FL1HGBp1UCty1NW+NID+/fY6Yw0shPsOMj8A+vIGpQ6JNTGQAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
⇒ Ar(Δ FGA) = 1250 sq. m
Also, there are two trapeziums, namely, EIGF and ABCH
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Ar(EIGF) = 3850 sq.m
Also,
![](data:image/png;base64,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)
⇒ Ar(ABCH) = 2800 sq.m
Now, the area of the given figure is equal to the sum of the individual areas of triangles and trapeziums.
⇒ Req. area = Ar(Δ DEI) + Ar(Δ DHC) + Ar(Δ FGA) + Ar(EIGF) + Ar(ABCH)
⇒ Req. area = 1200 + 1600 + 1250 + 3850 + 2800
⇒ Req. area = 10700 sq.m
∴ the area of the given figure is 10700 sq.m
Question 12.Find the area of each of the following fields. All dimensions are in metres.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKIAAAEiCAIAAAD1V54gAAAAAXNSR0IArs4c6QAANOFJREFUeF7tnQdYVWUfwANUwJUo7lVqTpy5t7n3yNx77zLTshykZuPr+7Jy5d7b3Jq5Tc2FWzEXCAgOBCdDBb/fuS/ernjhnnvuOXcBz3184Pru//uf73+4vHz58q3UH2c/ARdDMPP78+fP2XK6dOmcfeMpa3+uhtsFzJGRkaGhoSnrDFLAbl/D5vj4+Pv37z969Khw4cIpYO/qbBHcCL93b/euPwUVrFWnTo4cOZ8/f3bi2PGbNwM9PD3btvtQnZksGOU1MFswTsrtGhsTs23rlhPHj3EE6dOn79ajV4GCBS9dvPDbrJkZMmQAZwBzoyZNbXxAXMbUH0tO4PGjRz9+/53hCIB24rgvf/rxPwg6gL9l00Z37ty2ZArL+zoPNr948eL8uXOX/S8Z4o2rq2vefPlq1qqtETLFxcVdvHBh9szp9Rs0FOQakAQGBPTt1X3+oqXvFiqErDNiyKAu3bs3bdZCizXExsYePLAfrmE4OLyjUuUqEBX9l26+vr5aTG/9MQHz2TOnd2zbunjhAvbJ+YJDt26F+J040bxlK43W8+L583NnzzLLiWPHwsLCsmXL5pXF68KF89s2bx4z9ksmpcGZM6dB6ypVq2mxBsC8Z9efcA02njFjRrYcHBy0Y/u2O7fDvLy8cufOkzCp5QTBfkYA0hDJcqVKBNy4IVYV9fTpsiWLtVsh2AwmPXv2DJQaMqDfpx8P59w3b9pQqVwZMemjhw9Hf/rJZN+J2q0hKipqwby5bVs2S9hyVNSSRQtaNG3Up2f3O3fuiC9fU6i0uG42HBMc8ve/1LV7D+3WAFPI5u2dNm3aGjVrjRg5CgJ+795dT8/0hjO6uLh4pvfUbg2JRvb09OzQqUvPXn1OHDt66OAB8b9OCGbwaevmTSuXL1uxbOna1ausc77AO2fOnAULFoyJjsmXL7+Hp8fdu3eYOi4+PjIy4t13C1lnGWIWd3f32nXqpkmb1u/kCacFc1zci38u+587ewat5vkzyahnhR+od3BwcM5cuQoXKZIrd+5ixYv/dfAAX964fh1zU/kK71thDa+REFfXzJkzP3zwwGnBnD59hlFjvvj2hx+/njK1Xv36mp7vs9jY3X/uhHKsWrH878OHGjZuwnSQzbbt2p86eXL50sWrVixr1rwFIremy3hz8Jcv42NiYmAoTgtm/Z49PDy0k7HFLC/i4q5fuwbl+OfyZTS3WrXrCJr5QYOGpcuU9b90KYuX15BhI6wMY4SSSxcvRkdFV61eI2Fq7SRA64/8pqTNN9euXvW/dNH6i7HajIkkbUnF2r2rV/cu3Tp3DA8PF8twKvPI2bNn/vxjx9JFi4YMGy7oFff6sr9/0+bNBZ4534/Qm1Ga2fvgocPZYHR01B/bt2MbadPuQ71dyHnAjPLKhtFfE8ESO3Pnrt3DnPHZLW26tIWLvLd+7ZqbgQGGu86YMdOgocOw1ei/dB4wG8VU6BXmsO++mXz16pW3387iRNj8Mjb22cv4+K8mTEQIMLkvJwczRHv/vr2fDBuSL3+B9h06mDwOR2kQFxePpe+PHdv+89+fZD1/WU1SsP5EPJ9jiezdvWuRgvkG9utt/QVoN6PgUOV9Sp4+5SdnFie0gukxEjGbUzh54kT6DBkcBU1lrhPDC/bqNGnSyLSvOS2YxbPB6lUr8+XPX7DgOzKPz1GacYMDAwMyZsr4dhZZAofTglmgMi/QLVq1xgbpKPCTuc74uDhs5t7e2WW2d04w61H53XffbdiokcyzcKBmEO27t+/kyJlT5pqdE8wGqNwqZ05nQ2VAq3v4iuQpLOWC2RCVGzRqLPMgHKgZG4yNjXn48EGOXCkYm50elSU/6/DwJ0+e5MubT+btdDaiLaHyI0nAhis7JSoDV2EPcHN1yyGbHzkbmJ0elSXGrFOa3dwkf5WUiM0JqLzSmVFZgBlf0gwZM/IqkxLBnIDKZ8+2aOWcArYAquROGn4Pn3CZthG6OA/R1qPyO87LlfVgvh0WJl9pdiowG6Bya6fUlfX0OT4+7uHDh/KVZucBsyEqN2zshLqyIQ+WTGB37shXmp0HzCkJleMjIyLNUpqdBMwpDZVvhQSbpTQ7CZhTDiorU5qdAcwpCpWVKc3OAOYUhcrKlGaHB3NKQ2UBZnOVZocHc0pDZd27hdlKs2ODOQWissBmc5VmxwZzikRlJUqzA4M5xaKyAqXZgcGcAlFZsdLsqGBOmaisWGl2VDCnTFRWrDQ7JJhTLCorVpodEsyJUJk/yQnhd/KkeKoT/0sOIaJ+Hz9+bPh+5wS/K1OaHQ/M/3p7FSrEuzJ/3rl9+5dpP23bullnOognsmjRwvkXzp8jkc+q5cucALSGWxBKc07Z7tn6vg7mJJTI24uUDGShCAkKEvshGe4f27d5uHtM+fZ7ErusW7v6ZmCg00CaSyxemvPKds92SDAbojI+2ID8wvnzERERZcqVE/uJiY0B6q3atCUZG8m5fEqX2btnt9OAWXLo1L00K3CBciRsNkRl/BqJPDh54lj7Dh0FILkEDyIfBAcFi8vu5uaWO0+eK/9cdhowEwUp3LPNcvYT23cYMCdCZcj1gf37SvmU1idS0aX2DzcEKl30ae6cANjkIEtwzzY/Kt9hwGyIytmz50DUIqFy0M2ba1atJAEb2dd27tieKVNmQ3CSE9WZ8hQgZhNTI7lnv/22ubfWMcCcCJX5k2Sc5cqXJyvn5cv+Dx5ERt6/j7SVPUd2b2/viPv3hdTN14UKFzH3ROy2fdyLOFJ2e2XNqmCFjgHmRAI2fLd0mTLffPcDnwm+k96vWKlqjRqDhw1Pl869SrXqfx85DIyRVkhVoF1efAVnbWEXNvXo4QMEDgXjOACYE6FyMpskWSYJ/aDny5YsIl2qT2lSZpnOmaXg1GzSRVKa794ll7OC2R0AzMlHRpGyvGq16iA0m+d3ajxQdgJWDcg/Hf25ghOxzy6S0hwZoUxpTtBD5CSWslUbKZY3/F6/3j07tW93+3aYgmUgbNPd0fOCSYnAdu8iEdiZU6cUHIK9Y3MKCXI0SUJ0JrAIZUqzvevN8rmyyWNy9AaCqiFjKlMR7RqbU1FZfzvjXrwIvRVK9mgFSrNdY3MqKhtSIGECU6ZN2TWYU1H5NcNtfPyTJ4+dDcypqJxImODSB98MUqY02y82p6KyIZhfKc2PFbw0i3FskDYdEJ4/d5bSKoY7IWdw6bJlS5YsxZegckTE/S9Gf/bk8eNp02coeF41HJk8vKNGfowq8uvM344fPYqNjP+liGSduvWyeGXZv2/fvbt3+QZzSuOmzTJlymSHMjnJ33GGGfXx8LkLFlWsXEXBCm0gaXM3CfbiGXHSxPHHjv7N8wMfAI9HgNiARqiMsTAo6CbVP6Z8PREz2dOop3xz7cqVFcuX/jZzBi/TmCAUnKAVugil2dXVzTu73JS7iVelwKRieRcAefL48bKliutrdlIbi4p/jGy52SvR8gytYLxSb9m0sWLZ0vo2mA9/+G7q4P59Ld+UdiNQgojawdUqVXjw4IGyWWyAzYkumlRh78Z1NiBKg2mEylbAOe2m4Iju3b3nnS27MqXZxiIYlfc2b9zAa9Lc2bMDblzXHZMu4yZp+goV0i7jZnRM9PKlS8RnzaoV/q9LCdpBS/HIgDksLNQ7e0IlQAXj2BKbJdZ47Sqy2CsYUx1Ml9Je4zR9WJSEQCB5Jfj7J3ItUnCIWnfBC0xK62dBjn8bSNocCgDmpaVv7x4bt2zPkzfvkcOHKEfxbqF3I+5HjB418vrVq19N9JWfdzT5U3769OmvP0/LnDnT7LkLELIQ9L6eMP7EmXOiF/87c/ovAdevz5wzT2toKR4fXaB1i6Y9e/cZOHioskFsD2ZyL+oFbCpL9+3Vw8srK84hyvbzZq/nL6Q6v7gYOCiYkbkCAwJaN2+C8zm+ycqOxZZEO9GKnz9/duTw4cxvZ2nSrHnefPnV+uTJkwenImWnYw+9JMYcGir8kZWvR5mAbkkvlP0Tx49/M+nrEkXenfHrL3qdiqz+3Tp1GDygn9HB0YXw3Vy6eNHqlSv0/gWI5RTPTfRlUgrVs2ex+/fuGTNqZKliRXSD3CZKY/OmjT26dmrWqAEeoo8ePbJkXxr1RdVct2Z1hdKl0EcUT2EDbBaacVTU03btP7offo/DlSRs6ctwJLLy5Su8eWcB59kzp48fO4YZZdXK5bjuEgYnBVDduT33t1mX/S+dO3tWfJnMfafgHu7sOBK1advu6pUrLCAuPu52aGj+/AXKV6hAEUn7NI+I43L3cM+a9d/SnmajteILom5Hjnj71i1lShQ1Wg0vOjoa/OM6g9Mbf1+PoYBacVxzvuzepaMwjrZs2phyr2+uytGdhLi7k30nsjtLDtwG2Gz0Jr548fzixQvZsnkbrYYn+fJVqcJ/CVt0rly5Qm+FAOZdf/7Rum07BnRP516zdu2/Dhww+5rrOnCNli1ZzAfSDcaLQRh/w/p1xND+9UaxYGWzKOuVoDTrylEr/rEXMMOwz54+XaxECaMZ3xFA/gW/y1seHp7oX1ByXal7qRaTKxJKrtxQbwUHgZUGLWv50sWo0bv/3Ll08UIGkeTBQ39t2bwRc/v2bVupNKlgZFW6CKXZwsJ4dgHmfxlzBSOM2fCwpOeHmzexB+GATS/DEKl4IqYePlBwsk+johDiWrVu+/WUqR27dCUqmket22G3F86f16ffgPG+k5hr1vRfFYysShduM1vOm09uLSKjk9oFmPGA+cffP+rp08qVqyZ/NPBmgio6dOpCMxfX10KkFEdMubi8lSZtmsdPJPHtZfxL6ARPBVjHCNIhaAM2UeH9ileu/KMn5qoAT+Yg8GMeV548fqIgCtJwCrsAMxT7zJnTEmMuVCiZ/YugdQRjETKTxi0NJecJf+V3ETFVpMh7Mo/PsBksoEXL1pRDXrVi2bWrV/oOGAjjQNwr+M47EjtwdeX5L0OGjP6XXnsgVzCRgi4JSnMaN7NKHrw5kb2A+ZSfX1KMWSxa+KODVc1atISOYQlPmy5d5SpVjhz+iyuPXZqn6+o1aio4Sg8PDyrdeHh6Tpo44fixo7Vq15GilR49NByKB9LHj2yQyUTIX1w1i7Qpe4hvhsUCpJDgIJTXpIAUExONWvzrtJ/c3T2Qh5F+D/11AH+PuvU+gKDBWVetWA7OVa5aTQGYkbbOnTlbo2Yt9HhsJgRfuRIx+3qJJziCZ3pPBYNb2EUozVxEi0xg9gBmOYz5xYu4m4EB71eseO/uHcTpwIAbJUv5IH6XKFmqY+cukuNHbOwnoz7Th7SbdbhPnzydM3tmhQoVEcE6demKpB1+P5ynFOLSJG4tlft+BL8oUsQGMbQJL83eyl+aE47CEqVblb68EU2dMqlezeowV1UGTMZ7xOj49+7drVyh7NrVq0AdLK91alQ9feoUV6fRB3W5T6jU4PdHbVtrsTaTY+JtMWRg/97du5psmXwD2/Nm5K/Tfn74+8mvkWYWsppsDEls0LDR7+vXQvzXrF5ZrFjx/AUK5Mufv32HDnAKGARcv3fffibH0aKBKkqzJEhqsTj5YwrGHBwcJCJXbfKTPn2GAYOGFCpUWBD/YSM+gfh7eqbv0q2HZ/r0JEGoUrVq0+YtbLI2VZRmaeUWUgMLu/9ryvbzs3CopLo7rk0bJnLj+nWfYu+tXrXCwsOxMTbL1Jhtgkk2n1Qtpdn2RNvmjNnmsExmAWopzTYGsz0wZnsGM0T7HlXXLfQb0e3QlkQbLy2cODFllynjPIlgVLw3OqX5Lp5xit2z9YuxJZhfPH9+6pSfSVO2igfnWENJJaduh+Wz7G1KbNmWYAabcYW3ocZs51BXS2m2JZhTGbPJS6aa0mxDbE5lzMmDWa2XZhsT7VTGnDyYVVSabUm0UxmzaTCr8dJsS2xOZcwmGbOKSrPNsDmVMZsEs4pKs83AnMqY5YBZLaXZZmBOZcwmwSwpzfcsdc+2pRVMFKWw7RuzyVO2eQNJaQ6y1D3blmCWEkalmrKTvUfqKs22IdoSY/ZLNWUnB2d1lWbbgFlizJdSTdmmwKye0mwDMKcyZjlcX12l2QZgTmXMcsCsrtJsCzCnMmYZcFbxpdk2xs5UxiwDym+hNBMk4JVNSWUxo+Nb1a0glTHLgTFtxEuzt7fSRKxvTGNVMKcyZjlgTlCanzzJn19KxKDKj3XBnMqYZQBNmDlJMK5igUurgjmVMcuA8ltx8SS2um15TLPhXNYDcypjlgNj2iBmh4SEqOKebQObtjLGTJDVzh07iFUk+pRMP2LdxGocOniAL0l/J/PsHKiZ6kqzVfVmBaZsKYn+ieO/zZIqFFCllwzxUDNO4fKlS6tWrvD3v7R3z26KGjgQCOUsVXWl2apgVsCYyRGwa+cfWbNlnTz1u1Fjxpw4dpyUI8SVr12zush7RSd/822/AQNnTP8F2Ms5Pkdpo7rSbD0wK2PMLroSM1QhJ1EXaZMoRE6mFaRQkja2btsW7lW4cBGvLF4kdnQUEMpZJ5lEw++Fq6g0Ww/MyhgzMK5RszYJuRbMm7tz+/ZWbdqU8vHhsZ1EWSLpH5Am6/rVK//IOT6HaCOUZlLqWJjWL9FmrSRpK2DMLDRN2rQVK1WiCvcv0/63YvmyJk2b4xIqMvbqf6QUMK9/4xDgTGqREsW+c/fpkyf58lqU1s82YFbAmIVqERgY6OXlRYIfIsbmzZl95+7dN1M56b/RS+BSFpFVKxyRZycozW5uFhZZswGYlTFmFkoO3C2bNsQ+i500ZSrpQc6SCvCUH/nuPD09BQg5FFIs63MDxsfHBYcEb9604ef//Xjt6tXoqGiHw2yhNGMCe0eX8FC66AEB3FqRGp4khKSKTT5tuNEtW4NoK2PMYpPXr1+noBrUu2z58jlz5SSRCFmWi5coefDAAel/r10LDQ0lp6bYG8nh2rZrT2bGvPnzfzl+or6KhgMB21BphjihT86f+xuVA1Ep0TK2bt5MAbyQ4GBzd2QVMCs1Zbu7S9mzqZjAXSZv14vnL8qWK0fWxQ8/+ui038kli8jmtKRlq9ZGU3CbexB20l6vNCOFUGIRU8HdO3e+HDcBlXLsuHEkaCVt7F3zFUhrgFkZY07Azg8/bNSkCXf5VkhIh85dSpcpi/hd74P65Su8T5ad7NmzDxoyzE4gpMoy9Erzs+fPSSBKjvFhH48UZIkUsh917DRk+Iis2cxPoW5hJiKT3XWE91rViuVJpWayseUNMJ4sWjC/VfMm+qEcK2EU3gT1atUg7eHDhw9HjhhG8kPLz4QRNK9DhVEae+SEr8YuXraynKms6JYjhCiAQcq+TVsT6seSD3Fgv97kz+3ctZvl42s9AqrUksUL+w0chJAxqF8fTm/Dlm2WT6o5mMkg8/23UykXwXKtkK7xTTAjirdu0exOWFhSBgdJEQgPz/z22wUKFLT8QC0ZQagk3Mtpv86AK30yfEjorVt/7lVYwMNwJZqDGeLTv3dP8gT/PH2mJUcgs++bYObgmjT4gEzJpOg1OkjU0yikOVL69ujVR+YsGjUjlSRFWnZs37Zi9Tryhs749Wco0/qNW/Qqg8gURkbgkqWkeuZm/KhC+pMaROg8VmPMkLi9u3eRsrZG5ffJsC2qkpGPumK50vVqVUtqkaK4ke/4cTKPApy7c/v22tUrRXvxp0jiilIrcxCjzVCIqV9Zp3pVEFpoU03q1/vqizGiIht6KVLOnNmzDh+SMsWb9aOtpC1pzOd0mb/KWiPzly7JeDiJVT9o0PDG9WsamUekwkW/r//h228FMkkvZqtXHf7rIHrt+rVrsWaYgWSvNwUrMPuAuyQCw0JSyqd0j959sANSrHTJooXkiwfV386cWUERAI3BLDRmb4pYFFa8efkdyZePyjHpm2/5jB03QQvziFRI6czpM6f8xKqoEUwa978O7me6MWO/pD7hti2b5S84UUtdhqhwYf/ihwzQ7Tt0HDJsOL9g/+ICZfXKilapYHxtwZygMZcpa3meOgV7U70LdBJhDXW27KsKh7yIY6IqVrwEV4pLVqVqtX179yibl8EfPnoYHHSzYMF/JUHqrIG74uJOnDRZGYxZj4ZgFhKsM8UxA1RMcpho8ubLK2DJPUb4IMc6v7u5uvLeEBgY8FjRixkUOzQkhFoBFLJWdlGS6aUhmBMYc1QUNSpUX7f1B4Rc46gUERFO8RP97IlKnvG9dLkjIhQsj+O6efOm5OmX24ICvklMrCWYdYzZO5t3kfeUlIdScFKadomOilq2ZBGQoMwgxSijo6PQdih7kiFDBsN5XV1cM2fKpGAlgJlXNeRHC4vUGJ1aQzALxuxTpgwPRwq2rW4XqvpK5dmM/UAn5czlliYN9hP8IwBGWFgYUMGoTnEjJCb8lgQeR0ZG5sqdK2s2JRV4hZiNC74WcoxW5hH2jGTYtdNHg4cO79Grt5xz1KjN/fv3mzdugBbUp29/o1PgkbNty5bGzZrxECRnDZJP8R/bJ0+cePz0WSj5kUOHcG5ZtHT5Wy4uP3z7TcaMGT//cpyccRK14b110IB+JUqW9J00RUH35Ltohc32w5hF9T/U0FOnThr9UM+9TLly+kdrs44YSbj8+xUoMzh/7pzVK5djaWnWopVZI4jGQsym5pqy+ocmZ9QKm4UpG6f57bt225Zo4xX66ScjoqKjxk/42uhxUAqU4jX4LMhcJ7rypUuXdmzfOuaLLwWtDg4K4vE/XTr3evXrGwpoJk9f3wCsOH7076GDBy5ashwHCvkd5bY0y2YmvzG1w1o3bzpi6GD5XTRq6RAPkZjSsJW+X9aHh0gtzkEToi0ZHe+HE6Frw+pScq+5fbQTYjZu6JkUSekmN6EJmFn0hXPn3NxcnUNjNnmIljeAEWBHwiQsk3GYO6M2YKYe4KlTefLlcw6N2dwzVdAeberu3TtaaMxiMZqAWdj3sfRqdDcVnKM9d5EiCh4/okiNRmK2JmAWjJnSij4+pe35cO1nbcKajctm6dJlNFqV+ticypjNBZWwZutd8M3tLqe9BmBOZcxyDt6gTYKYrUZZsaRmVhnMsJmnUVGpjNksQAsxW+9NYFZfmY1VBjOMOfRWSCpjlnn6opnWYrb6Ilhc3It/Ll9O1Zjlg1nntHtfUzFbfTAT5oTnW6rGLB/MUGy8EzUVs1UHs44xnz3jU9ou3pjln7UNW0raVGiopmK2ymDm6R7GHBQYkFqoV/69kdwTblzHZVMLbwL9MtQUwQRj5n3Xp3SqYUQuoLEY4gL8XrFicjsoaqcmmFMZswIQvKBIc5g6RZqTmV01MOs05qdozFjsUk3ZMuEtuY9FRBAdki9/AZldlDVTDcys+NatWzdvBuLGrGwpKbAXYnbAjeskAitdRitrtjhV1cCcYMp2ddN6xWrdBsgP+R4IcSOojlg3hsWFgz+XL11y4vgxtWZJfpx/xWwNXPANp1YRzM8vXDhPOELhIkWsc0aWzIIfLvETCxfMO3L4UEDAjeiYaCIqCETbs+vPfy77b9286eKFhDSwlsxism+CmJ1VWzFbNWwGM1Dw//H3dwiNGf6CDjNn1gx+GTtu/NivxuOATXAp7vWjv/jyi6/Gk0iR5DUmgWR5gwQxu6i2YrZqYHYsxiySuxJMnCdP3r8PHw4MuIHrtZ/fiQwZM8BxiHirXrPm0b+PKAuFMgv21hGzVQOzAzFmwZK3btpUumxZ6PPaNatICMr6A65fF0kpiGIqULBgxP37wean3zILxlYTs1UE83MC9Qn+tH/GDESvSKlcX1asWMl38jdEhMCJEXcTJf6Mf/ny8ePXkoOaBUI5ja0mZqsFZh1jvnyZ2AX715il/GqhoTly5WrSrDkpxmrWqp3O3f3C+fPJpAKVAzMFbUQiEU/P9FpEuiZajwqSNqZsNGbieotqL0ooOM3EG3Z1JZTtCZxZF4VMAGOWLF54RxMgQ3gj30BLoeqZM2fOq2oO3DdXrgu2u+Ht7a2pNVvMqwKYHYgxs2Hegkj56fKWC6qUyPDLKZcoWapsufLIYijQBNXt2bWLfE3KAhvlX0TEbH//i8gB8rsobqkOmB2FMUv32tWV5AIdOnVG2F60YN7K5Uvbtf8IkQJ343ofNKCuBqrUtWtXaaD4TGV2BD0IvtIiQcqbC7AczC8J6HYUxiz2T57mrj16lixZCn/KHDlydNQlbSEafcDgwWg4YaFhzZq3UBbxJhPAgjVEREQ8ffK0YMF35PdS3tLCwCyu5InjR8uXLonJ0MKhNOpun6FyGN22bNpYzqcEKcI12rjhsJZi84sXBFiccXMcU7ZyhFC1J2IBOYWtI2arIIK9eBF37do1h9CYVQWTpYOhNKOeWEfMthzMOsbs7+8QGrOlkFG1vzXFbEvBjMaMEnIzMCA1XMrcO4BMQy0Dq1kaLOLNgjG7urm9X6mSuftMye1fidlPrKNNWYrNCYz5nXdtnonasS4NqEyJNDJQYXqzzsotweZXjNkq2XWtcxzWmcXKYrZF2KxnzKVS3XXNvB1WFrMtArOeMVesVNnMbab05lYWs02AGRbid/IEXnDCLw5XU2zXehDxvyROeyeVMZt5aTFOoYUiZpMV3cyuypsnyZu5cQf275s5/VcS7/PB0YLEVb/N0terkN6Y8cq2Ttp75fuzv54ihT/p8QoXtkYqeXEAxsGMjECF+1nTf82dOzf1GfmQ+v3J0ychIcHCy0LHmAOoq5LKmM29SJwtGdPQQtUt3Zv8MoyDGcP6pg0beHof+dkY0R/r6yeffta33wCwnD9hzOfOnkmfIUMqYzYXzJLfWUCA1azZYnnGc3ZSOeWjNq1wivvfz78a3QbJiSdNHI9X88TJ35i7T5Xbv+RRLw4Owr9GR46Ojtmwfl32HNkXLV2h8tSKhsNtZcqkr6ldQeUhRQMo6WQczPg1VqtUoUv3HhO/nsyosBNqoB/Yu5ffKb5K9QVO7dOPh+/ds4fEtenSplUys0p9Xr71Fkmysat7eLi7urq9OWr8y/inT58UL15iy44/VZrTomGQZAf274sjw7ff/8eigczpbBzMLKVe7Ro8rc+YPUfHieMuX/Zfumjh7+vW4inXf+DgosWKIZH9/NN/q1St2rRZC3NmVLmtqEG5YO6cth+2z2WsfACIvnTxwly5cu49eETluc0fDjE7LPRW+7atOcPeffuZP4DSHknUvXo0oG/v2tWrkABe34D6JD7F3/v7yGFRY4syXiB08yYNuQGqPIyLktRbNm8So/EnkRCL5s8jqMlwGYnmQlagBlSZEsUozmV0GSbLjamyeJmDwJgl9aRE0Z07tsvsokoz4yIYNWS7de8JLOfMnslZv3mFqMWHQ2SvPn1xc5kza5bMOgLJX0Wy1FMFc+7sBJ0NLJw39zdSXKDL4bF1WxfN5ug/3F2CRq0sZnNoxsGM+2OlKlVwVUeLp1Lh4gXz+axetQK31ly5couzJjrhvaLFOnbuTLGtXTv/sBAAICVxLtRpFuNw6/GeoQD5uAm+o0Z/jv8lxUQtnMIeuotSGfiSWrm0eJLmESqZ9e7bf9iITzJkzHgDjA64gfcyxTIN385EFbdatetQAuCfVxBScJpSgvngIN40K1epKrqD2ZQDrt+wEV60uMtXq1EDW42Cke2tCy6FQUFBeIBTYNaaa0vuhQqcrlKt2teTvxGfiZOmDBw8xHBxetKNrAvpJiO+sqUTqXb0yJHadetmzpywed1T3ZV8+fRlvHJiWFU2uF31kh4tQkIKWOv9Ub93Sx4i/yXdHTp3PnhgH8WxFZwp5JpyfFwpw/j3+PiXDx8+0I+W6E8Fs9hDl1fW7CCrOY2oBmYGgnR36NipZu3aVLtXQLqjop5O/2UaZtSlixcfO/p3+L1wnkkIfsmQIaN+lZCNRFW97AFs5q5BWLOpt543b0LtQXNHUNzeUmxmYkG6e/fp5+aWRgHpTpMmLbEtVPNGm0Jni42NIeUnF79Q4cL3XpXxevAg0voYoPhMk+poKzGb9bj5+vpavh8iVt7OkuX5i+cbf19PvS0CkOSPSVhivQ/q86lRq2Zs7LNbIcHTZ88hMILCQnv37GrT9kMec6hNXaNW7XKv6qwaDi7FK9+9s27NarrcCrlFjY1EH1QywqUIeOzZu6/8VWnRMjYmZtefO7nNQ4YOd/ewaqU9FbBZnIiFpDvRsVLGq2q16sAGRW7VyhWuLi51P/jA6NHzX9RZJRnGyRMnNm78/c0PhggYf6ZXwp0W8JM5pq3EbInigg0yV2myGUTp4sULo0d+7FO67PiJvlm8vEx2MWyAdH3q5MkzZ04NGCTJ85KF1f/SmtWrPNzdW7ZuAyCTGg0hjnwxUHujDSAG8+fNyZo127yFi81aj+qNbWLNTtiFKrY0/SAx0dEL5s2pWK40VdbUHVnxaHYSQyWlZwkJ5kGIHBiK96K4o2pEW9waTBmt2rRVLHWrjkD2MyBgpk6sTcRsDkFlMCdI3X37IxApkLrtByqqrwTOgrZpfWu22IjKYGZEbN3Fihbr1KWrYoOJ6kdsDwNKdUuu2MCaLfaupgimP01YCCVup0zy9TtxYu7CxcWKFbfhQaORDx8yCGo5dMTHSS0DwZ6MsubKjGZtimWMHfMZgsLy1UpshWbN9WZjTcAs5GScBsd+PrpYsRIKpG4Ld2XYPTIyolP7Dyl0blTtpiVcE422e89eLVq1VnHeREPZUszWgmiL7UG6ixYr3qVbd5uTbl1c2n3WU7dePaOfqtWq8Zjtd/KkdjCGvIHNVOG2mS1PsYxusqPwMPlkxNBa1Sqr5WFictI3G5j0HuEStGza2Hf8OAWDy+yC/HUIF5eSxfbu2S2zi7rN1BfB9DghpO4+ffvztprCpW5decBAKEpuY95q2lER/cgagtmuSLcVjjKZKYSYje9Nnjx5bLISbcHMlniZaNykqTCYXDh/TvVNcoI4+wk3JpxNcQ6UkqG/+tOoI5vqazA5IAIpMiCON1Z2GrESNksam550Z848e+YMxR4mSR2lVJUtPPzo0b+nTpl0/tzZJ08e4ysIC/xu6hQeNPHQNgkDKzSIj4tDRMiTN9/B/fvEFdR/1qxaaYUFaI7NgnSTQ69Xn354DSjzMEnmIKAWDRo17tt/QPr0GQYOHkqlDbzYSvr49Ok/gJToyTx4WOFwxRRCzCahX/78+bF37tmz+/tvvxHudZcvX162ZLEVIG0NMAvSjR+/dqRbHCi00f/SxY0b1lO9a/TnY60GyOQnknIT3ArBx5lcocQMtO/QMVOmzK/c6ybz5w/fTRXFNrT7sRKY2QBWbknq1oZ0Mz5Mmug9yDU+Dv0HDU50ZM+ePSfpkdFP0M0g+vKOiWalxSf83j2cdo2K2XxJAlHQHU9W7WAssU4V35tNLhQPzs2bNnw/9ZtBQ4b27T/QZHuZDUCX06f8unRoX7lqVV7PPx75qd4RmBGIByM0hLTKkBOjA7IqQknwP69Rs6bMGc1qJuL9yeK8fuNmD0/PP3Zs/+rz0aPGfC6uJjJjNm9vfNHNGtPcxlYFM4vD1XfCV2OpAPTLjFlm+RIlszEB5u6dO3bo1AXyiA8hEUp4HYkuCH09u3UJDb2VjAe8i6sLKbXxSjP3+Ey218H4IletZ+8+FEvhSgHmLz77lKUKMPMI3ahJ03r1G+TKlcvkaIobWBvMOlv3xS/GjEKD/M9/p6nyWiDA3L93r3UbN5PvgZQKoMjgYcNatJRs1PiUffrJCL4f/vHIpI4JOs9K0qVNpzv656dPn7p4/nzadOmI/RSXg6ha0vUe2LcXIaPaqy9NHjoLIzLol2k/eXl5TZ76XZH33hNg/uZr32OnztAdpQAvjNkzpo/+YqymrmrW483iUHRSd3GY9MULF9evW2PypMxqwOAlS/l8NuYLNNRvp0ym4JDojlIHsuJcltQHIo+1mV4IwzExsSFBQVKs782bBHAT9sH32XPk5PfHjx5LFP7wYWgvXyb/IecXASsEi3BvevfrD4zf3AvObh07deE+HT961KydmtvY2mBmfSBE0+YtyFmNwQQsNHfFidqLPDjbt25FhiJ1MboyKbILFSpMcMNk3wlSNKWxUL+kJo3T2eGrVKtOiEm/AYP+2L6dqCd+WCc5w7+aMPGTUaMxW5oM6ELiIVx96+aNB/fv79mnb526dY3OyKWBf+EtWfCddy08h+S72wDMLAipmzg8TEIzp/9iocEEtCO3Av/C7ciOgj0EF0ZXN1fU9PYdOgUH3cTlT/4J4gNK8WloNfT2QWQEj1dgM2Iw7qH1Gzbkd0DClwdNxe1xM/46eIC4gjr16hGrICq9AFS+xEKC9EBifj6EZc+b8xv1F5q1aCl/kQpaWps365fInkG+//7nh779+5sldQNR8Ak2qSfI2bJ581SsY4SXjx/7O1069w8aINEkRG7Cm0eN/NjNzXX23AVyDkjn+H2XPBb79+1p2649ufN5Kh7Uv2+3Hr1atm7Nsgn/nPa/H3ftO5jUaBAY7HGY4aBbpHso8l5R0ZIqGhRDokqOYUcPTw9kCK0rXtsGmy0h3VBR5KPAAErlBCJqHTxwAFM2sLl9O2zub7P4kujZRfPnJ6orJQfAog1D4WWAAJzGLQ2vhzxFk9bitYAu/nzwMKkB6Y6iTCY1GDnXVw9j2mOewxjiO3mK4eeLL8dpDWOmthmYlZNuFxeIpzipL8dNqFmrVtly5SR6eOAAjiJ8+fGnn1H6j/Bo+aA1bInUTTWZCV9PxsaCvgvjd3FxfT2gy5Uyg0YHFyx525bNp/38yDlRrXp1ZWtQvZctwYwAnCt3bnOlbqnCUPESCWQwNnbP7t3NW7aCHu7etRPfYb53T5eOrClwQUsOC++w8uUroBQQvsWMBHSFhydUqXr4IJL4faODC/eB9evWEiPSqk0b+ym+ZkswKyPdYJuoEAWTJv9cZMR93iekkoD//MMTkESgdJnVUFgtATN4iWQH5S9btjws9v2KlcS94T7t37fPaF0b1oBAvmTRwjx58+JZZj8wtjHRFmBQLHU/i409dvRI7Tp1JYYaD798oIer9OfDJNlnMuCH+KPpIgMvnD8XtbtcufIwTsBcpWo1dFy+X71yuc6tLHFAl67mbQgqYkx0TB9JS04Quyy5air2tTE2sxND0k1CKvl7i3lFsaVBXF2wRej7uri6ZjQIj5Y/JvcDAQo5jvcMxhSWZx23LjBoyHC+j4yIJFFHonTnEkt+9GjDunX+Fy/yJIo+Jn9GK7VU17VM8Wi80032nYhz4Cm/k3IGkcLyLlxo1qi+aIzy3a1zR9QVfmeoaf/9Ecu5+C8rxFCR+3Lrlk31a9ec8vVElGw567dyG9tjsyHpzpQ5Mzl/5RhMDCm24PGVq1Q5fOgvjg9nEvwXsDxbB1EESybVQtHiJXr07mNXLFl/AvYCZkG6UUJI2b1q5XKTEDKk2BKY3d3r1qtPmXV46vJlS3LnyVO5cpWkBqGZMEJhChXOYrrQ2WO6kpHLzFK49SwZVRtynT9/AZMrt0kDewGzwMhmzVqQGnLB3LmgY/LHkTZNGp18lBD0jFhUomQJLFYST33rreGfjEyqXisQRaU+f/YcjBZTKBSe16eAgBtLFy8C5EQDLV8iNwzakCUjdr1fsaJNQChrUiszieSnAznI2QDH5fEYV0hV1paIN/PgPXvmdAi7fnAgTfJRApzg92hljevXSyZ3pOGSUK42rF9rzyxZv1o7wmYhdZOonWc7vGpWLlsm656a0wjEJWURhq0d27fpfXsRmnbt3IlVHImat300qH1795gcVceSTy1euNCeWbLd8Wb9guCyEulu3gLGaZJ0mwRGogYk9ceRg1cNnpjAafKRcd8jIyOxYOfJIyVxwrSCiKDPKZnU+IIlL1m0gKdie2bJ9gtmVuYpZf3pkydvnhm//EyWIHNhmUx7yamhWHHekmHemDOlZ9AHD3D0M+wC4HnUSmaQBJa8fh0kp9+AAXbNkl9tw76ItliVkLp53lGddAtDKcCmqOWnoz/noYks9TibGgKV2SnukAyYnz2L3blzx7YtW5q3bFmnbj0Vb6F2Q9kjmIXUXb9BQ0j3sqWLeQzQYv9gM2wYwds7e3bv7Dnu3w9nFqgxr8tFihhx6BFrkFiy3ykeOkkc37lrN/vUkt88LjsF87+kO0/eX6b9T13SrQNnHO/T4rGLFy0cQo4cPsyXJAI+f+5czdp1jF6sBJa8eGHGTJn69BuQI0dOLe6fFmPaL5gF6e43YGBIULBaUrf+ZYJn/z27duEBKPn9eHigrKNDL5g3b8XSJeUrVDD6zi/x7EcPCYRxIJZs1yKYfnGqk279y0RISEjWrFkbN23GXFBvChMTiEWOeNzTPh45yig+SSz5jx04NjkQS/53I6qYILQbRPL8Cgz8sE2rj9q1VmYwUeXpQiTvb9aowehPRypbhnZHJGdk+yXaeqkbA/WAQYNVJN3mMj9hm6MOR6bMmQYMGuRALNkxiLZYJUS1Zs1auLgidVvo+mMugGkvnjKxhMCSEbvszV9A5o7sHZvFNjCY4NdNddlfp/2kutSdzEkBY2zgsOSdO3a0aNkqKa96mWdtw2aOAWbJ1p0nD66WSEm461rtvGDJR48c5vEKFz4H0pIdSW9OtFY96cbWbR3SzYMVZVVWrliOswMhltlz5LDa9VJ9IsfA5kSkmxhDHppUPwvDASHXOIXBkpGrdS58SdrFNF2GWoM7EpgNSHfQ8iVL1DqCN8fRseTHRKge2Lfvw/YdHJclO5KkbQgGQbqbt2i1bu1q7Ug3oarEbWDwwlG3/UcdHMVwncy9dyRstg7ppiIYPqN41RMS3W/gIFtl8lKXVjkemDUl3ZBrqiLxABUWGtqnv8OzZEcl2oYGE9VJt+QvQOz5ls34ilPM1lHekuXgveNhs3akWwS6EflRr359Spw6AUt2bGxm9Yake9nixbwwyrnUybTRseTzSxaKQLfezgRjdu2o2MzSJam7Vu027T5cv3aNySwRyV8CwZKl2PPHj5xAS3ZgK5hROBFNSaAG/jokiVJsMDFgyX69+vazx0A3CymVQ2OzIN2Uixs0ZBg5LxWTbsGScaxv3KRJq9ZtLD5SexzAgYm2OE78uSpWrtyufXtlpFt41aMlk7LJbgPdLL84Dg9mjoDULdROUUC6dfkOiD2fFxsTi7+w3Qa6pYJZOgFlpFuw5N/XrSO5pL0HulkMZ2fAZmWkW7DkLZs3NWrcuFGTJhafpF0P4CRgFqS7a7cepUr7yJG6BUvGX4BcQU7Mkh3ePPIm7kC6vbJmHTJsBFI3z5TJGExSDkt2QjAL0k2tC6RunimTMpgksGQC3a5ccXqW7Jxg/pd0+/jMScJgApbjv7d182Z88Z2eJTstmAXpHjx0OM49GEzIRGBI3kU6GLJ3oX117NLFyQzXyQiBziOC6TcpkiVTIwbSvX9vQqJe/lewZB4nMmbK6NxasrPZtJO6v2Svx2BCxNvihfOFrZtSJ5KWvH7d1atXCL9ziNhzFVU0N19fXxWHs5OhIN0Q5Lz58m38fT1Zxu7dvevighXFddXy5S1at8a9C4y3k6VaZxk2S5tuhe1FR0X9NnvmbzNnZsmSxd3Tg6SbZKSg1JwjBkFZeFxOyJv1JyJId8VKlcLCQqlSQi03ylekQBhzIM4MZmHrJpMq3pmZM79Nyp9SPj4WooWDdndmMAuDyXvFikK0iYgnDYGDAsnyZTs5mImDCr8XXrxECcqN+V+8ZPl5OegITg5mbF4U8caFL2++/NpFadg/7J0czJi9rl+7SgmDRo2bAG+zsuvaP/Dkr9CZwYxPbtDNwALvvEONsFp16mD+PHNKYTkb+Qdqny2dGcxkyN20ccONa9ewhZEgBj6dYum204KZB0fycZJQmdSN5Di4F36vdOkyKZduy0k35IhtSIFPAUBilMXidRVDT9avU2v7tq2OuB0L1+yc2Ay5JjqZLCWk/xHMEooNbyZd4+IF86l0YJ8cVLtVOSeYAScZVnmhogSFOLuXL+MxcROWXrJUKYJatTtQ+xzZmZ8u7PPEbbIq58RmmxylPU+aCmZ7ho5qa0sFs2pHac8DpYLZnqGj2tpSwazaUdrzQP8HLRd0POY6oIYAAAAASUVORK5CYII=)
Answer:As we know that,
![](data:image/png;base64,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)
And we have 3 triangles here, namely, Δ EFH, Δ AJG, Δ AKB
Therefore,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Ar(Δ EFH) = 400 sq. m
Similarly,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMYAAAAsCAMAAAAJmjeLAAAAAXNSR0IArs4c6QAAAKhQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZmY6ZmaQZpCQZpDbZrbbZrb/kDoAkGYAkGY6kNvbkNv/tmYAtmY6tpA6tpBmttuQttv/tv+2tv/btv//25A625Bm27aQ29uQ29u22////7Zm/9uQ/9u2/9vb//+2///bMM7EcQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADIUlEQVRoQ+1X63raMAyNaQvs0suysStkl3Rb12ZsTVj8/m82SZZsJ8QloRkf2Zf8KFBk+Rzp6EIUjc8YgcFGYP36y2CxW+CbhTq5GzyN4uIm+w9oQB5GGsckxjEbYzZ6j8Aoqt5D+giH2WT4U1x/miulTj88Igx7HdXfzjvtDtnFzV73/NtDOrm673ZD8WzV7UD/1jqZVkHr5AXfUszlXcRWOlFqBh+UOrmFP/BMLvF08WRv7YdcBphuAzHCyVWt/HK7xmXKMhSrMp4hauRHb/VXoIVLUy0WHcIdctnsogEIGabvXczxs04IFzzly7eWoVjRtyZfxrCMiUD7dJRvTPg2/Gr8NLgE33VTD653irC+uiVV5Uqtfs4BdjEXnefTX8JQrOhOfU1aExrE2ilxVx50coY8yviSLUMu0WnN1MH1gZAaZrxFF/PnyzVIPJcM6GRl68ZawZ0brh2i8ecj3QRJlRzuomHKzCiJnqBL/Kpq6sH1TpGPFcdf6tnSKJ7eRTy2nBUWpDKFT2/VlHttKsWRUuVT9QfKHsD9XsxsXwm6pDsqph5c7xRq+vye1SFisusPZACkRpCdFQRBpwafUSd/iCyNrWxYWsrF3/UO8tPskmPlN49GIKgpugR7k9CQbJQx1Ajn3lkhdq7qSok/QGNbZRBJD1vQZQONRiDYjDCwuQLEdRo53ZQiQ8+KsGeUI0NDJ6Y/29poKSrHI+hSROVMm4EAATKhmAsNeU1JTsTQs+I+h7KqZKOM7aTcjn71P1K3Uhwhl4YFdQMxbQYiM6KMIaIE2AZZBgEy5ElCVjKrpIPolKun9Rjn7udaVcgls7DKtiOtDiSKodMgXaiO77CFmoCaKW5UiHXzw7PCDQQyB8KZfDbLyOmSDrWf4pt3JrYFv5plpMElTMiqKeIUuB6QYD9srQ+rlgeHuF4vlDrbe+naJdLQ931vuKlaRhtU5IGfnn9vUBPLuPQOTKXv66SD9O33wP5oAA3+cXvzkKm03+OPmaX7KXbMKHdiS91avtP2eA1oxOfdh+pxMaIRr82qOeCHV/eh0xhwBkbonSPwF7P9dG0R7CCfAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
⇒ Ar(Δ AKB) = 750 sq.m
And,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Ar(Δ AJG) = 1400 sq. m
Also, there are three trapeziums, namely, EICD, ICBK and FHJG
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Ar(EICD) = 3600 sq.m
Also,
![](data:image/png;base64,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)
⇒ Ar(ICBK) = 2100 sq.m
And,
![](data:image/png;base64,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)
⇒ Ar(FHJG) = 2400 sq.m
Now, the area of the given figure is equal to the sum of the individual areas of triangles and trapeziums.
⇒ Req. area = Ar(Δ EFH) + Ar(Δ AKB) + Ar(Δ AJG) + Ar(EICD) + Ar(ICBK) + Ar(FHJG)
⇒ Req. area = 400 + 750 + 1400 + 3600 + 2100 + 2400
⇒ Req. area = 10650 sq.m
∴ the area of the given figure is 10650 sq.m
Question 13.The ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between them is 16cm. If the area of the trapezium is 960 cm2, find the length of the parallel sides.
Answer:Let the parallel sides of the trapezium be 5x and 3x.
Distance between the parallel sides, h = 16 cm
Area of trapezium, A = 960 sq. cm
As we know that,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ 16 × 4x = 960
⇒ 4x = 60
⇒ x = 15
⇒ 5x = 75 and 3x = 45
∴ the length of the parallel sides is 75cm and 45cm
Question 14.The floor of a building consists of around 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of flooring if each tile costs rupees 20 per m2.
Answer:The diagonals of the rhombus given are 45 cm and 30 cm.
As we know that,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVcAAAAsCAYAAADRo/uuAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAABRXSURBVHhe7V1NbBpZtj6FsnfW4y0gjcPyOZLLWYcGRuqM9Nrz5A1+0jP22zQgxau4caCdlTMxZGUqi4435DVZxCMFiNdpaKndu3HcMvCWnnW7966a79yqgip+DCRAHPuWFEUu7s+5X1WdOvWdn3srnU6TPCQCEgGJgERgvAjcGu9wcjSJgERAIiARYASkcpX3wbVGIDV/ZihhTawxVjZo9iijXPUFp1LLRm4tSgmtJkRVs3WqJXyedDpjXGXZgbXuiWiKASljJZ20sOJJZ662zKPiuTxzqPuTNaxRpd36T5TwKZ5MnzVK5ToqurL9SAgIRbHoo4SpJ1yHqsZocz9PR4XJKbzM0axilGMtBTuS8J+hcQuvQBmzhz2NnHoRNZQr/0JgqIC1Ry/FhIJ1Qmcr3dW3X77CLZwHscYA1ng88JpI5foZHqCbNGUmU1BS1bJxooRJi5UpPXskbsrl+RkjGk5Q2EdUNvLGUWZyCpZ8c6ROCPTU8oyx6CvSUqNK5+N4STRLVMSLKLYZIk0zqPB7xhOkAgUdrpHU8m190f+jsnRaheVEV8s69N2ZGNYTuoQTG1Yq14lBKwduI+CjuQ7tVjg6V/azquFLaHRQydPslwpX44TYKF8al/zWeIHLxmt+oJ/x6T22Occle59x2KJ9/Bhvh1+/p/SvE57sCg0vlesVuhg3TRSvn1VIjY7rTcp3cKMb9TWKQvHWYAdlLauQrcS1aIIsKpJUNQtaId5FK3S2Ozxza/Y2D+see9GXEIqyk5vtHA8sKNpU6cHBIilbJt8B7o3/Y7aRLXHqZYkPkp/lWrT4YfCVPJ5+Nm99Slt8692zQ10J1cSPCb/ZZov+i2Lq/7VwgXAEwhMcbdpYvg2OMB5QSnqeMKTHaD6/WPTHlRqzt8CvXo0TPh48hPNr0bjSiW3IS305RZ6crWhnP4G1gxnux8OC/tCblR1lZVujqkUZqbES1YTcJk/LbSrrK8p2viqui+tQd6n+U4IAO2TPXayvJJV81ZxYxW+PXoqvIiF7pwwPG/9L/53MEzfvNWez8lRZeYLfq+aMnW16Paep5Xn9+coTJYFOlhTSoXXTFNpVWm+zfizECfi9zNcpRiOLT+wEHW+v0c7mBu2X5ygaLoo25ud3ggLlBqWPQDUszxu5aBgP0ImLVuhqJ5xD4Hx5HmvxPFdDWM1tNDKFc6Xag5vtNe+aLyw6Hs0GwecGwOcet14A4nwm0wXzMPKzXLYMrOC1MHnggDOc0ZK/zAY9RgWcX+hY2a23aYFUqqHPLfqVBEHp5EPky/Mj3tRzi48VA6rp4N0eKFyFMunfPZhD93w/p5w6FCsr3ECpThTyQQFXLnLRiMLYQinrqVSqp4JlxXoP/e68Rb8w+lHzIrfOMriw9uj1nGhng8JKM3cP7e68hYLMQ0E2qbLup0j+CZxEIT3hM+er4LpFtBg9q7+nKhxHzdzahT+pKTZ3+4oV5/IMxk5ChlNTBpZ9JaL8xf8bvdX3bNkhQ1a0O36yTuWXe/RTfA/jLWK8iALnm74VTgn5n1tynb7f6ytX58Xl9Yh+xjM61d+j3//Tc6xHWq5XSdvcIFlMzhX2CKynjRBR4cix+KUNePULSgGngukgc5lUOdsyarDIgjjPLTOFIyW1nzWK0JBOWqGyA+sTY+7D5OIxBef7IGYkNDNiwD5Mq9lU7pcdXeNh3lnWdkfdCnTgOEPIP0iefr9jnZ7lvy3oyXhRKTfizMXCgmrSCa3CqtVIO3iHrvxSSBO/1BaAMQxfYSXePdui2mqZamG/sHaxMg+w1V9DIf6jskcRKOVe0fCVnTjVFrL0Q8hHeb4mkCH19aqe1NwOrU6ZuR3df4wxf6VX35s8QephVle1uPJbg0hh2YUCfqxQ7GtK+hXPH5AzlXpAseQLyv+jQhCKl0Li+qyWqBoxoymE7C93IXvSkl00ax2BR3vCw38uFPMSqcmfxZcTm7m2XI9dcu1CrmRLrt5ZAQ06wa288CwCTDlComCkHu7qUrl+7N0s+42OAEyxLeujcQuf1iqUTQNWVqHDmcWWLDmUbSo1b6xBpapZPHXnjh+8fmGN8sPBnG27XcQ95kc6tPqON+LKh5V/xGG7mnvDf6OFRJxOmrBamTKovKFjKNF9vEReFOt0ahi6Dwo3t3hIS/teqsWBGd3V1zykqLv4W3zQWi8Nr4/ukELHDSge1nYdWgVrQj9FWdgNk99jKmkh0BQcWuqffcS0Rorm9XWW4Zn5ty06WffFPy2l2RdXu90nAp/JHHm+Xl3QNbwF1Ner+n+83CDy+jxSuX4isLL7CAg4ogXMXkdQgk6TdYSxzCdZOMq0kwYFv0iP2Jjl94ZpaSFBCctKffdGpaUNL3kbeAXVisQWbVxBNEJgk2qw3thKpdTdPqC3ZWOcx32YnGtJ2dku0nGtRlt46/Jxx5qIrcj5OwYI5yegP0yqoFlZIw0vgFW8fHtE9jlE9NGf+b6wzeARklBtuZ4+KdI/QQZ3ytUPB1BEnno5oK88eaFE/C9gCaxKy3XcN40cb5oImJ9j6lKHRTtNET5prvHK36YGDuDAKutv7tUJuhVW1ANaVTRh0TbrRQo8gIMIYV5tU6/XIizZvoFV+Elr7O7s5lyrllPq+YWTl+VeoXyDdj/4QQt4KAnHnXAkghduJSek5vtI1qDf+DP9Pzss2gHraHGn4IJP39ty5SBXcmBMKw9dQFTEfdAdLx/N6CuRpCIt1zHfOHK4SSBgWVHFEu1XU0aLRmjWBWvaphH6WILDhDf1FHtcluWw8n86djaXXH8OugSUAHvT0+kj46+rpIcOnitzxwGCbqW2bvXS3IJCWrFMdSMO2sByXjUb9AFWYsAHK7GnHu5j2TY+CGVsW6A9V1TZoWRtgbI/hEzeV/Cft7uaNnNRev3NKRk/gU+1s6B+feUI57Is1NclqscTus92vDnui5FeDJArAbmeQS7GTUQaLM8MvCjCqbZCyg/vv0U/kbHlefQ/hrRcByInG4wBAdMKarnr+43YRwkKp9QmnFJIOojmIhREfztawHRemQ4xbre8pBqJxDbNlPeNcyuqYC162D2j4GE1Ku5UaD+fMrzNCnW2a48XprNyw2AnG2dQVdZ2qL6RN5MG7HFKTSHX/NmZ0frNmnVY+YcG2nuHFmCJFhE5wZ6ru7Ez/XQjryQQNpWid8JKTSSIsnWTV2Uu0ntHJSUOyoDDtNjpwpQA/8ROqO/ghAollJVcmNNsyWjM6xwtUBXOKsV0VnUIJ6zkJXag4bO95NcT7G2Hp3595VCkv7qOToUreFmWH3wu5kthvvWdbVc/07pFpMM3/VERsj+C7LASV3BfCNkREsXRArWFZ27Zxb1luJW+pYRbM4hr+YJe41omrbHWnz6BXL2yjmvUcr7xALUkPa2EKQ/HGIdlIYJMWq5D39Cy4UchYKdzCl89O7TUrNFACFCnE8sMVTKJN47xVLMNI3huRgYIJcDhUwiViuLmZacYc2G9HGLe+D6VT6IU5tQvUo3Ds3na31+iY19NjIsQJyjJjMKhV5sx1QhDJp+Gz83sJm30aId0R4RtBcS8WIOxdXhGWYSJ2dlYrXHwMCIm1+D419kemVrDyO+sg2DKaoYIddYUyBR+93y3quohEeiq6m9gimqcqWV5y9lK1Y6XEEpFZOlWMp1dNVACX4nML6e6zPwy66lXYno0JAJndfZfcWxnIx8msAp941y93+5T6UOUIhGBtb4Y26SXL4G1H1hHPFxfQP8Olt89/xaxfrLPKeFvPeXVHy8iZqCuvrhTopd7m/T0RcTRxutpfLNwkYSTCHF0iOVtHyzbyz1cN9O69NSRcrsSQbskZGdJ8Ptp+3crXAuK2iHDd6AU1j0RxLriZNIPpVrXlUQcchUvIjwnxloU8zyiv2sRytvrmf8XIb3XWs89ri+gG4qfllSVfoz44QJk+oIp110ZivVRGkN2GhoBtto4dxMRVdZxzoq1qz8rqSBCnNrNOBDLfYDTcrfp4RAT880GKd2aEE4zDNUa2xFCxXGqrXaIQujXrnDunhcWsUsw1ziXhGgNkp8VsKsE6BEymvo4YzjetSU75nTHwqY96dlzQhxoS05WyEHOkuozZgEK1oU/wpEKmcvTqUToErB+7MD6FaC5j3nu88zIyOJIq9bf1jnO0mIHULsfh2QRzT7m8CyznxGG9ff6Z2WVC8CE2gVgUvP4BI/8RXn69YV4WXJ7wXXac4oVt0O8+C/cW/j9sSmTQ64/2fPxuT9eURBw9ZKr1Y7XQ38ikW1mHX9AcIiORd6nIP9r/3L9lGt3RSF4kh0WUNcTa51AtRsElfO3aztrp1/bSZ9vy9I/22fSMsjxJQKfE4FmbhsZZ6v09ity0xIhM/xuYJjV5xTemrvLodWqykNZ6vX5dgVk7iuCs6IQSHyFlVR0SIH588/Othmyy8SamZ+i5MogmthkcmCJwBVEwHTMafQk95AioFzYVrTTYTUDSjfuFSkRo6VyTHeh3dECwmPGQhSp1GTG5gs6HBWF6AifeVBSXFFIHhIBicCXhQAXexFc6rbJfzLnugWiXY3tUqmRIPjZLq15cBVW26VcKwcayP0sHcPdWLQ8oFdB0KFk+OiQm6FGl40kAhKBKSIguFTw9ffbRCZm/4ML9TgT+KYo0WhTuZSrmaYXowdGhOaKCNvoiCvsrOo+uHIRe2H3adbBefKnO6rhUBTVcJCYIQ72+gatOp/9xP+IikLw3Lorzw+Snxpr1vRNhNQcwpNsCgjPdRdvO4w8zgr4baza612eOTPMyk+XYdCkGchiVqV34zlKdSczdGkbXyV25B+nn24iDKk7/XS0W0i2lghIBHoh4FKugkTGAzfbihc8IUTStY5RKxeZxTlENWQR/uLkRBvVPMI8UA0HlW/C2jYXGzb6FRv+mIpCYjuPDs/tIPnNhdaoGN1BKTuUDstb8iWiLvmGlcdZ5amEivtBeJ33heMMbJEaM2YQ0hNM2+d6YXBM22sl2tyoosh0RnDIPvBPrXCiIas7uXh0oypwF5WijlHNiBAkKg+JgERg7Ai0lKv5AG6JCujMV3ojqBgDaqBvIeN+lYscFYm8oQjivzjXuQLlYAZ5i7AcRwhNaiNrqFqCkB7et2CyqHwz7opCPeSnebMUY2DT3HqEs965ohICA13yjSoPj2e/OExcYT1ifg5y5/lsrHthsLTRrlfqjW9SDIpZs/AUfYeq7mSlMmbbBU0Y9+IAb988KlFZ5UUH3HifP8Ji7E+GHFAi8IkItC1XdgYhQsDOdsET71KMnfP0r1zUfoBZmc4HoLBgIS0jC6YzcHwY2SdVUahT/rYsKs05U9U7KiqNS57+8ztRCZCzQBSq7ygPYmRoI+Jp9lMNjevQwWLe3N9A7F9BCYLL6hVzaktwNJtG3OUwVwnFqsCD9TrghOiV3jLcoLKVROALRqClXJulIjjQGrIeErwcZMBYORG1A5ofYY8jTkGDXdbxQLXpBZNzLVFnNZxLt7XoCfC48r7HdfWumjzudXGgewOFnZnrDvuQawQlWwY1M9G9qyACguKHKnoxrqsgx5EIXBUEhHI1rbFDVFM3XJus2Q6TUfY46uX84Tm4Orubc62KFMiqVWF+dEDGW1Fo9Pk7e1w1ebpXJDKEQMvsb1qbA649EHRNv0PSAp9+V8gRbi4CpuVaOSBNXaIGEoldUaEhVP5GIK+T4+sP1RCWm4ihBT8H7mF4imB6FYWGuw2mKc8xcb1f+/jY4s3CAQd+dd/K6efNATdBL4QH0AvjoAWGw1S2kghcPwRu2dYkNifqr/A0BzUwsHKRu4JQM7dDO4RtOzgcq6OCEIcHre1sX4rq2CsKDYyFrbmdax3tR5Lnkrns6vnOxXefq1ECVZsaXLWJIytQgk3j9NyIF18YVs8hqjuJlrUE7VQiZsV+xp2dWQH/CC+563fzyxVJBCaJwK01lMARFYtq7opFppUEz7SYHTwdmLNyY25w5aKsWblIVBDaOjSrDSFVjf0d7gpChIpFZcRZbtIOKhM5KxZ1LvjjKgqZ4V/OsS6rvOSuSLTIG84ZccqRs1KTKwRqQIWmzrm4b97H45k7jHKptUCfc7bcarZMSyfb4MHNDfHAk0KuduQBnxqmuhM+TUTVnmLruvBQSG8WMa6fshPAJG9NObZE4MtG4BY2W1PaDuF2xSL2MPNGbE5n8VHhvF1diNfdMp/aIHRWEOI9j5wPsKuCkAjJQgiWPc9YKwqNVnmpsyIRe795BFelIId8AyscdVZ5Ql/WY53j9TrHaJqpu0d07qrw1NsrP6i6k9CfCA0I8r/WpepdnerLvp1vtvTtrVPa24+LFzJirLnWa6vg9M2GaWqrlzsRTA1qOZFEYLIIvENiSAifjLGytdV1493Fmj+kcAReGVtkh1GpXyrYyV4D5+hSuU4PazmTRGDyCCDZRrO3yC6QZyOr6i/imnLwbg/bR4MlGzJuefKCXv8ZpHK9/tdYrvCGIPDLLIpkc0kTR+aHmcE30k5SNwStyS9TKtfJYyxnkAh8NgTeveHNqFGM6StsQjhow9fPJuX1nFgq1+t5XeWqJAIIubutL2Jbp1h5j8Iec48tCcv0EJDKdXpYy5kkAlNDQOyeuohC07t1DnOUinVqyLcnksr1M4Aup5QITBIBW7EmAiXEU/tb22hPck45djcCUrnKu0IicM0Q4JCsBDIu60gS8eUNlPq8yjtNXTPwHcuRyvX6Xlu5shuIwPLtQ91/mFXqVShWMveZSt090xdPN5RawivpgSneE1K5ThFsOZVEYJII2A6s3dM4+aFYOWFA7Ji6Bu517uEkp5Zj90BAKld5W0gErgkC73biVEM8QA26FEdrx1T+AxuEyGPKCEjlOmXA5XQSgUkhIJII+mVgnb/iHZbkMUUEpHKdIthyKomARODmICCV68251nKlEgGJwBQR+Dcm8fDrm62N9AAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
⇒ Area of one tile = 675 sq.cm
Total area of floor = (area of one tile) × (Total number of tiles)
⇒ Area of floor = 675 × 3000 = 2025000 sq.cm = 202.5 sq.m
![](data:image/png;base64,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)
⇒ Cost of flooring = 202.5 × 20
⇒ Cost = Rs. 4050
∴ Total cost of flooring is Rs. 4050
Question 15.There is a pentagonal shaped part as shown in figure. For finding its area Jyoti and Rashida divided it in two different ways. Find the area in both ways and what do you observe?
![](data:image/jpeg;base64,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)
Answer:Considering Jyoti’s Diagram first,
The pentagon given is divided into two equal trapeziums by Jyoti, whose height, h = 15/2 = 7.5 cm
Also, the parallel sides of each trapezium are of length 15cm and 30 cm.
As we know that,
![](data:image/png;base64,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)
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)
Since the pentagon is made of two equal trapeziums, so the area of pentagon = twice the area of trapezium
⇒ Area of pentagon = 2 × area of trapezium
![](data:image/png;base64,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)
⇒ Req. area = 45 × 7.5 = 337.5 sq.cm
∴ area of pentagon as found by Jyoti is 337.5 sq. cm
Now, in case of Rashida,
She divided the pentagon to form a square and a triangle.
Side of square, a = 15 cm
Height of triangle, H = 30 – 15 = 15 cm
Area of square = a2 = 152 = 225 sq.cm
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANcAAAAsCAMAAADB9t1dAAAAAXNSR0IArs4c6QAAAKJQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjpmOjqQOmaQOma2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZmY6ZmaQZpCQZpC2ZpDbZrbbZrb/kDoAkGY6kJxmkNv/tmYAtmY6tmZmtrZmttuQttv/tv/btv//25A625Bm27Zm27aQ29u22/+22////7Zm/7aQ/9uQ/9u2//+2///b475tKgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADT0lEQVRoQ+1Y7XbTMAy1W7ZmsHWFjq+1GU2BQdpCQxK//6shyZZjp6VxOKNkOfGPpbElWVdXspwJMYwhAkMEjkVgd7fqYWCKuRx/7x+u/OYx7SMuYGrA9bzSdeBr4KsLERjysAsshPuQjnp431APkZTyxX14GAbJpgioBylvm4Tq66k8e3qp+HLfwk0VT0R6gCuTy9M2sn+NS8VSToTIJEcwaxfKPDII8iunwP8/LlHOABbcLzmAyYeoTVpZBO0YaCetuS/f6k+Wwjy9jDhYxESCwRuVb75RIgKBy00EYPO5HOGBpLYvpZyyLZiV148ghgcWMraGpxx/0VqfaI41tCnSVWuUl5d7vR3bDst7FV8gsHJmvPA8qi+KGq4UyoU+efLo1WJ3tcqjhdhBroHYXiVMKs4WMcrV+LJargZMrkSKUJPxSmzwB+Fi22GwICoYcZNf+OZ6VFukZYcvFS9hOyQg1+mYgCkjgnOmmBLUobcDXKRVVR3K0BvaI0PkGOHybIsEmaTxxzMFgP2YT9xjzW5EqN1FPDgqY/k1w9Aa5Qz9RAdcd/Us/T3ARciP4EJpgwvVwHff9hHSLFDJi+Csf1o7uMC6u+jzlZItTDDGxRNqdwe1ofnSHpHmCVxWg0yRDibylvOwnNnNwjPRcd31CA2cwFW+xnImX12+NIi9pSGIr0qjwoXJMVrgFpYvCyk0D5kwzyPyEPKwYtPjK6N5qgCNy5aWKXTNl+7dx+vL5mGlUeGyHRwXre1wtvS5oYvC86g6VLj6XFzmdzmDRDQJlsmFUJt7KvviHZ8bGVydCtMPuC+DwOeV1cLjhzUM/1hf3Bppim0H4jI3IT4QfY9qi4Yc05ch4SkiUGFfoZjICeg8o48QBGhQ058zvh9tYXmq2xxPreVomWstfCytBr2h0Vs47HFM9+Z6w7bDgBXvzellnp5H9cWDe1TYHn8nVc6R3F/MeqMRtYP2f4El3+2hO74+dUJGAkVQYFF0fGBZwl0q2FFq/3RR6fjAO6a8gXtli9H4bdDCVpdEk2B6u+R1oy/uTalR+PkIVC3v+fgc4GnrO0mAzS6IJN5XSRc8ehIfUvp0D213T7LlOYzQ/4JU0jtc5tOld7jOkRPDHp2LwG/acWxLOIiTTgAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
⇒ Area of triangle = 112.5 sq.cm
Area of pentagon = Area of triangle + Area of square
⇒ 112.5 + 225
⇒ 337.5 sq.cm
∴ We see that, the area of pentagon found by both ways comes out to be same. Hence, It does not matter whichever way we divide a figure.
Divide the given shapes as instructed
into 3 rectangles
Answer:
Question 2.
Divide the given shapes as instructed
into 3 rectangles
Answer:
Question 3.
Divide the given shapes as instructed
into 2 trapezium
Answer:
Question 4.
Divide the given shapes as instructed
2 triangles and a rectangle
Answer:
Question 5.
Divide the given shapes as instructed
Into 3 triangles
Answer:
Question 6.
Find the area enclosed by each of the following figures
Answer:
Side of square ACDE, a = 4 cm
As Area of square, Ar (ACDE) = a2 sq. cm
⇒ A(ACDE) = (4)2 = 16 sq.cm
Height of Δ ABC, h = 6 – 4 = 2 cm
⇒ Ar (ABC) = 4 sq.cm
Area enclosed by the figure, Area = Ar(ABC) + Ar (ACDE)
⇒ Area = 4 + 16
⇒ Area = 20 sq.cm
Question 7.
Find the area enclosed by each of the following figures
Answer:
Area of square ABCF, Ar(ABCF) = (side)2
⇒ Ar(ABCF) = 182 = 324 sq.cm
Given Height of trapezium EDCF, h = 8 cm
As we know that,
⇒ Ar(EDCF) = 100 sq.cm
Area of given figure, Req. area = Ar(EDCF) + Ar(ABCF)
⇒ Req. area = 100 + 324 = 424 sq.cm
∴ Area of given figure is 424 sq. cm
Question 8.
Find the area enclosed by each of the following figures
Answer:
Area of rectangle ABCD, Ar(ABCD) = BC × CD
⇒ Ar(ABCD) = 20 × 15 = 300 sq.cm
Given height of trapezium, h = 8 cm
Sum of parallel sides of trapezium = EF + AD
⇒ 6 + 15 = 21 cm
⇒ Ar(EFAD) = 84 sq.cm
Now, required area = Ar(EFAD) + Ar(ABCD)
⇒ 84 + 300
⇒ 384 sq.cm
∴ Area of given figure is 384 sq.cm
Question 9.
Calculate the area of a quadrilateral ABCD when length of the diagonal AC = 10 cm and the lengths of perpendiculars from B and D on AC 5 cm and 6 cm be respectively.
Answer:
Since the quadrilateral can be divided into two triangles, therefore the area of the figure is equal to the sum of these triangles.
As we know that,
⇒ A1 = 25 sq.cm
Similarly,
⇒ A2 = 30 sq.cm
Required Area = A1 + A2
⇒ 25 + 30
⇒ 55 sq.cm
∴ the area of quadrilateral ABCD is 55 sq.cm
Question 10.
Diagram of the adjacent picture frame has outer dimensions28 cm × 24 cm and inner dimensions 20 cm × 16 cm. Find the area of shaded part of frame if width of each section is the same.
Answer:
We can see that the shaded region represents a trapezium, with the parallel sides are of length 20cm and 28 cm
Height of trapezium = h
As we know that,
⇒ Area = 96 sq.cm
∴ Area of the shaded part is 96 sq. cm
Question 11.
Find the area of each of the following fields. All dimensions are in metres.
Answer:
As we know that,
And we have 3 triangles here, namely, Δ DEI, Δ DHC, Δ FGA
Therefore,
⇒ Ar(Δ DEI) = 1200 sq. m
Similarly,
⇒ Ar(Δ DHC) = 1600 sq.m
And,
⇒ Ar(Δ FGA) = 1250 sq. m
Also, there are two trapeziums, namely, EIGF and ABCH
⇒ Ar(EIGF) = 3850 sq.m
Also,
⇒ Ar(ABCH) = 2800 sq.m
Now, the area of the given figure is equal to the sum of the individual areas of triangles and trapeziums.
⇒ Req. area = Ar(Δ DEI) + Ar(Δ DHC) + Ar(Δ FGA) + Ar(EIGF) + Ar(ABCH)
⇒ Req. area = 1200 + 1600 + 1250 + 3850 + 2800
⇒ Req. area = 10700 sq.m
∴ the area of the given figure is 10700 sq.m
Question 12.
Find the area of each of the following fields. All dimensions are in metres.
Answer:
As we know that,
And we have 3 triangles here, namely, Δ EFH, Δ AJG, Δ AKB
Therefore,
⇒ Ar(Δ EFH) = 400 sq. m
Similarly,
⇒ Ar(Δ AKB) = 750 sq.m
And,
⇒ Ar(Δ AJG) = 1400 sq. m
Also, there are three trapeziums, namely, EICD, ICBK and FHJG
⇒ Ar(EICD) = 3600 sq.m
Also,
⇒ Ar(ICBK) = 2100 sq.m
And,
⇒ Ar(FHJG) = 2400 sq.m
Now, the area of the given figure is equal to the sum of the individual areas of triangles and trapeziums.
⇒ Req. area = Ar(Δ EFH) + Ar(Δ AKB) + Ar(Δ AJG) + Ar(EICD) + Ar(ICBK) + Ar(FHJG)
⇒ Req. area = 400 + 750 + 1400 + 3600 + 2100 + 2400
⇒ Req. area = 10650 sq.m
∴ the area of the given figure is 10650 sq.m
Question 13.
The ratio of the length of the parallel sides of a trapezium is 5:3 and the distance between them is 16cm. If the area of the trapezium is 960 cm2, find the length of the parallel sides.
Answer:
Let the parallel sides of the trapezium be 5x and 3x.
Distance between the parallel sides, h = 16 cm
Area of trapezium, A = 960 sq. cm
As we know that,
⇒ 16 × 4x = 960
⇒ 4x = 60
⇒ x = 15
⇒ 5x = 75 and 3x = 45
∴ the length of the parallel sides is 75cm and 45cm
Question 14.
The floor of a building consists of around 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length. Find the total cost of flooring if each tile costs rupees 20 per m2.
Answer:
The diagonals of the rhombus given are 45 cm and 30 cm.
As we know that,
⇒ Area of one tile = 675 sq.cm
Total area of floor = (area of one tile) × (Total number of tiles)
⇒ Area of floor = 675 × 3000 = 2025000 sq.cm = 202.5 sq.m
⇒ Cost of flooring = 202.5 × 20
⇒ Cost = Rs. 4050
∴ Total cost of flooring is Rs. 4050
Question 15.
There is a pentagonal shaped part as shown in figure. For finding its area Jyoti and Rashida divided it in two different ways. Find the area in both ways and what do you observe?
Answer:
Considering Jyoti’s Diagram first,
The pentagon given is divided into two equal trapeziums by Jyoti, whose height, h = 15/2 = 7.5 cm
Also, the parallel sides of each trapezium are of length 15cm and 30 cm.
As we know that,
Since the pentagon is made of two equal trapeziums, so the area of pentagon = twice the area of trapezium
⇒ Area of pentagon = 2 × area of trapezium
⇒ Req. area = 45 × 7.5 = 337.5 sq.cm
∴ area of pentagon as found by Jyoti is 337.5 sq. cm
Now, in case of Rashida,
She divided the pentagon to form a square and a triangle.
Side of square, a = 15 cm
Height of triangle, H = 30 – 15 = 15 cm
Area of square = a2 = 152 = 225 sq.cm
⇒ Area of triangle = 112.5 sq.cm
Area of pentagon = Area of triangle + Area of square
⇒ 112.5 + 225
⇒ 337.5 sq.cm
∴ We see that, the area of pentagon found by both ways comes out to be same. Hence, It does not matter whichever way we divide a figure.
Exercise 9.2
Question 1.A rectangular acrylic sheet is 36 cm by 25 cm. From it, 56 circular buttons, each of diameter 3.5 cm have been cut out. Find the area of the remaining sheet.
Answer:![](data:image/png;base64,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)
The dimensions of rectangular sheet are 36 cm by 25 cm.
The Area of rectangular sheet = 36 × 25 = 900 sq.cm
From this sheet, 56 circular buttons are cut as shown,
Diameter of each circle = 3.5 cm
⇒ radius of each button, r = 1.75 cm
Area of one button = πr2
![](data:image/png;base64,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)
⇒ Area of each button = 9.625 sq.cm
Total area of buttons cut = area of each button × 56
⇒ Total Area of buttons = 539 sq. cm
Area of remaining sheet (area shaded with blue) = (Area of rectangular sheet) – (total area of buttons)
⇒ Req. area = 900 – 539 = 361 sq.cm
∴ Area of the remaining sheet is 361 sq.cm
Question 2.Find the area of a circle inscribed in a square of side 28 cm. [Hint: Diameter of the circle is equal to the side of the square]
![](data:image/png;base64,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)
Answer:Since the circle is inscribed in a square of side 28 cm, this means that the diameter of the circle is equal to the side of square.
Diameter of circle, d = 28cm
⇒ Radius of circle, r = 14 cm
As we know that,
Area of a circle = π × r2
![](data:image/png;base64,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)
⇒ Area of circle = 616 sq.cm
∴ The area of circle inscribed in the square is 616 sq.cm
Question 3.Find the area of the shaded region in each of the following figures.
![](data:image/jpeg;base64,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)
[Hint: d +
+
=42]
d = 21
∴ side of the square 21 cm
Answer:The shaded region is formed of four semicircles and as the base of these semicircles lie on the side of a square, therefore the diameter of the semicircle is equal to the side of the square.
⇒ diameter of semicircle = side of square = d
![](data:image/png;base64,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)
It is shown that, r + d + r = 42
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI0AAAAsCAMAAABvwMvcAAAAAXNSR0IArs4c6QAAAHJQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjpmOjqQOmY6Oma2OpDbZgAAZgA6ZjoAZjo6ZmZmZrbbZrb/kDoAkGYAkLbbkNv/tmYAtmY6ttv/tv//25A627aQ29uQ2////7Zm/9uQ/9u2//+2///bCV2K/AAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAB9UlEQVRYR+2XWVeDMBCFA2pxKy612qgoUPL//6JZkIRMukyunvrgPHB6WrjzZWaSS4X4j4wKdEXxlPFY8AiuMBMDaUSHrieg6SuUBlfwOLgWruBo+vuiuIFqgytMdemrlVDPSNdxBd8kedEKbAZxhYlmqJemW0CncAVfGlwLV/irNGq90GjI2YUrBAdfU76I7QOyp3AFj6Nei/L2swJwcAXMI0/+9I+aNL4aZNBN9qbc6Kv60D50bj4dG2qdMvTZAZm+ZV+CvrI0sliJbX32fiyL5v8FmqF+dDTmPGlmW6a/etvHRmmISbNrI5edpbERNT34JYFFUlGT5tJ0122QU5pODXUxhQelOCQVNel9NJImGe42wtNQi27KcVI9oMVKSOlVzGw+viVSSBZbC2iaxuZUayM3i4nmiE4lTJrXKX1WuTA0ztbyO8WkSZXXjO44HHLRRhXgTXHCpHm1cRvJ0TT2VTPsFXeHU5POoHFncX+pr0qSyUkMzPgVSUVNmk+jZ8fgjG3cScN3jngduIJX5DtHTIMrBDTUOXY3MflLwnuYCvEmA179nBT6whECWeeAAleY0iN/7pwIrjDBJJyDWSdcIYBxzpEf396TrxDuqhaUod6TLUidgyuFK/gJZjtHDMv3nt3LPeQchwuFKxzO8X/HySrwBfNZKHTEjM8HAAAAAElFTkSuQmCC)
⇒ d = 21 cm
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHkAAAAsCAMAAAB2Z+c/AAAAAXNSR0IArs4c6QAAAIdQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjoAOjpmOjqQOmY6OmaQOma2OpDbZgAAZjoAZjo6ZmY6ZpC2ZrbbZrb/kDoAkDo6kGYAkLbbkNv/tmYAtmY6ttvbttv/tv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///bXoXKlAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACBklEQVRYR+1XcV+CMBDdSF1ZGVqG1qgoCgb7/p+vuwMchBKmeP1+tb+Ejb3du3f3phD/4yQMpFLenwSoDZKyIRvFFTMPsplLecURs1FLYdccedbjRAgOheX+DUidI89/EdkGE2CbI88i8h5EtuDQtg2lN3tXHNA/tIrBXcYGEsf0uXVA0saQAsl9kGCsvMev0NQDhkQuxB+1dTBE9zF1bquyg1Zn3y6knGHslctQslMJhBjSaLaSoFdoxzhw8nULWV3CSmvcljHDG/iVWI1TzmUo8AjfIe82GCd2jUZAw6jpMj5vpamNnPskJhoOmpBjhd292A2gnMsUya6QqRWbS4dcfQWfbNl6a/CRV11SSNzuIAhV6/VNZBHK6ZPbr1sJLszGCerIE5H5oxeYtvFCYWJ3IwtQAi11/PRpFx1spxIoxzwT2x3ImBishRZyT7ZbCrMB8E1vEbnmMk22KcUkgv1i3vDSqCrqJAA4TgzILLstxFy5DHUSo2YJmQ5qPptPyqMd2GZQYAitQWUhVPOHj9VTuQxUMULD4x2aTraC5+ukRMZJJ+4++T58Te73ub7bGG69ox7lvseBwmWfxVpCbvyzTSn0+eY4a/QOQzjO7t/uMqTZdYNrDrbxSENY7bc84wIbnLrsymMVzZBjaDAClhHRn0kGvg1eV6xmQC6NkwGZJcO/BfQTHx8ud5hR7fIAAAAASUVORK5CYII=)
⇒ Radius, r = 10.5 cm
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ A = 173.25 sq.cm
Area of shaded region = 4 × (Area of semicircle)
⇒ 4 × A
⇒ 4 × 173.25
⇒ 693 sq.cm
∴ Area of the shaded region is 693 sq.cm
Question 4.Find the area of the shaded region in each of the following figures.
![](data:image/jpeg;base64,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)
Answer:Diameter of bigger semicircle, D = 21 cm
⇒ Radius of bigger semicircle, R = D÷ 2
![](data:image/png;base64,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)
Diameter of smaller semicircle, d = 21 cm
⇒ Radius of smaller semicircle, r = d÷ 2
![](data:image/png;base64,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)
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4CRAe+q5BO4vCfT6nBV7aADVR2tOXHgfjowTsLOq5/ZeleP7x0Eq+3oezhG7eAqOoFG0zTZm1V/h+7Hgs4iAd/SSdx8FMoFfjaFgily4d8eexryx13fOkk4lpKtpMW+EYtIJ3ENzrxUm1pgbgW+D84FOysOXB7iAAAAABJRU5ErkJggg==)
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)
⇒ A1 = 173.25 sq.cm
Similarly,
![](data:image/png;base64,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)
⇒ A2 = 43.31 sq.cm
Area of shaded region = 2 × (A1 – A2)
⇒ Req. area = 2 × (173.25 – 43.31)
⇒ 2 × 129.94
⇒ 259.87 sq.cm
∴ Area of shaded region is 259.87 sq.cm
Question 5.The adjacent figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii (each 42 cm). Find the area of the shaded region.
![](data:image/png;base64,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)
Answer:As we know that,
![](data:image/png;base64,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)
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)
From the above figure we see,
Diameter of bigger semi-circle, D = 42 cm
⇒ S1 and S4 are bigger semicircles with Radius, R = 21 cm
Also, S2, S3, S5 and S6 are smaller semi-circles with diameter, d equal to the radius of bigger semi-circle.
⇒ d = R
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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ AB = 693 sq.cm
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ AS = 173.25 sq.cm
Area of shaded region = Area(S1) + Area(S4) + Area(S3) + Area(S6) – Area (S2) – Area(S5)
⇒ Area of shaded region = AB + AB + AS + AS – AS - AS
⇒ Area = 2 × AB
⇒ 2 × 693 = 1386 sq.cm
∴ Area of shaded region is 1386 sq.cm
Question 6.The adjacent figure consists of four half circles and two quarter circles. If OA = OB = OC = OD = 14 cm. Find the area of the shaded region.
![](data:image/png;base64,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)
Answer:Let the area of a semicircle be AS and the area of a quadrant be AQ
Since there are four semi-circles, out of which two are shaded and two are unshaded, therefore the area of shaded region is equal to:
Since the area of shaded region is equal on both sides of line AOB,
So, if we calculate area of upper portion, then we can simply twice that area in order to get required area.
![](data:image/png;base64,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)
In figure above, S1, S2, S3,and S4 represents semi-circles and Q1 and Q2 represents quadrants.
⇒ Area of shaded region = 2 × (area of upper shaded portion on line AOB)
⇒ Area of shaded region = 2 × [area(S1) + area(Q1) – area(S2)]
As S1 and S2 are equal because of same radius, therefore their area will also be equal i.e area(S1) = area(S2)
⇒ Area of shaded region = 2 × area(Q1)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Area (Q1) = 154 sq.cm
⇒ Required area = 2 × area(Q1)
⇒ 2 × 154 = 308 sq.cm
∴ Area of shaded region is 308 sq.cm
Question 7.In adjacent figure A, B, C and D are centers of equal circles which touch externally in pairs and ABCD is a square of side 7 cm. Find the area of the shaded region.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwkHBgoJCAkLCwoMDxkQDw4ODx4WFxIZJCAmJSMgIyIoLTkwKCo2KyIjMkQyNjs9QEBAJjBGS0U+Sjk/QD3/2wBDAQsLCw8NDx0QEB09KSMpPT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT3/wAARCACSAKEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2MwxmZZjGhlVSqvtG4A4JGfQ4H5Cn0VQ1XVBp0SLHGZ7qY7IIQeXP9AO5oKjFzfKia+1C106HzbuZY1PAz1Y+gHUn6Vnpe6rqPNnaLZwHpLdcufcIOn4mpdP0fyp/tt/J9pv2H3z92If3UHYe/U1qUzVuENIq779Pkv8AP7jJ/sa5lw1zq96zdxCVjX8gP6086IpHF9qCn1E54rToouT7afcyDpeo2/Nnq0jAfwXUYkB/EYIpo1q4sX2axZmBO1zEd8X491/GtmkIDAggEHqDRcftU/jV/wAH+H63EjkSWNZI3V0YZDKcginVhXFlNocpu9LRntM5nsx0A7tGOx9u9a9rdQ3ttHcW7h4pBuVh3oJnTsuaLuv63JqQkAEk4ApHdY0Z3YKqjJJ6AVgrHN4mk3y+ZDpAPyRg4a69z3Ce3egKdPm1bsl/X3k82vNPM0GkWrXsg4aXO2FPq/f8M0/7BqtyM3WpCAH+C1jAx/wJsn9K04okhjWOJFRFGFVRgAU+i5XtVHSC+/VmWuhqB82oag59TP8A4Cmtokqndb6tfxsOgZw6/kRWtRRcXtp9zGeXW9PwXih1GEdTF+7lA/3Twfzq7Yapa6khNu53r9+JxtdPqp5FXKztT0eLUGWaN2t7yP8A1dxHww9j6j2NBSlCeklZ91+q/wAjRorM0vU5J5ZLK+QRX8Iyyj7si9nX2/lWnSMpwcHZhRRRQSNkdYo2dzhVBJPoKxtCja+kk1m5Uh7kbYFYf6uIdPxbqfwp/iaQnTY7RWKvezJbgj0Y/N+gNayIsaKiAKqjAA7Cn0N17lK/WX5L/P8AQdRRRSMAopvmIG2713emeadQAUUUUAFYUS/2Jr3lDiy1BiyDtHN3A9mHP1FbtZXiO3afRpXi4mgImiYdmU5po2oP3uR7PT+vQi1M/wBqalHpKk+SFE10Qeq5+VPxP6CtlVCqFUAADAA7Vi+GGF5b3OqdTeyl1Pog+VR+h/Otuhjr+6/Z9vz6/wCQUUUUjAKKKKACiiigDM1uxaeGO7tuLy0PmREfxeqH2Iq3Y3keoWUN1CcpKoYe3qPwqxWPoY+y3epWI+7DP5iD0VxnH55p9DZe/Taf2fy/4c2KKKKRiZGs4Op6MG6faifx8tsVr1j+JV8uztrzn/Q7lJm/3c4b9Ca1wcjI6U3sbT1pwfqvxv8AqLRRRSMTjNb00XOraiY9DlnnnhVILkIihZOfm35yMcc1vW9zfR7bQRJPLBEglkaTG5iOe1atULX/AJDN9/ux/wAquFkmRO90Hn6j/wA+cP8A3+/+tR5+o/8APnD/AN/v/rVfoo5l2HyvuUPP1H/nzh/7/f8A1qivJr82U4e0hCmNs/vfb6VqVmeIbo2mh3Lry7r5aD1ZuAP1o5l2Lp03KaSfUzPCUt4nhbTxb20TxiLhjLgnk+1a/n6j/wA+cP8A3+/+tVHwkPs2lPpzH57GVofqOoP61u0udPVI0xUX7abvu2/vKHn6j/z5w/8Af7/61Hn6j/z5w/8Af7/61X6KfMuxhyvuZsl9eQNEZ7WNUeRUJWXJGfwrK0o7tRlGom+Gp+e3C7/L8sN8uP4MYx79a2NW/wBTb/8AXxH/ADq/Q7WTsJXu1cKKKKgsKyrb/kZ73/rhH/M1q1j6OftOqapeDlTKIUPsgwcfiaZrT+GT8v1RsUUUUjIjnhS5t5IZBlJFKsPY1l+H55Y4ZNMu2JurLCbj/wAtI/4G/Lg+4rYrM1bTJLlo7yxZY7+3z5bN91x3RvY/pTRtTkmnTls/wf8AW5p0VQ07VY7/AHxMphu4uJYH+8p9fce4q/SM5RcXaQVQtf8AkM33+7H/ACq/VC1/5DN9/ux/yq47P+uqMpbov0UUVBYVgXUn9ra6kCc2tg3mSt2aX+Ffw6n8Kk1HVZri4On6QQ0/Sa46pbj+reg/OrFjZRafaJbwg7V5LHqxPUk+prjxddQjyLdnVTj7Nc0t3t/n/l95Snb+ytbS+PFrdKIZz/db+Bj7dq6CqE8EdzA8MyB45BtZT3FZ1nfy6LKllqblrVjtt7s9PZHPY+h71ODrqS9m9wlH2sbrdfiv+B+R0FFIDkZHINLXccpQ1b/U2/8A18R/zq/VDVv9Tb/9fEf86v1b+FEL4mFFFU9S1O30uAPOSWc7Y40GXkbsAKg0jFydo7kesah9hswIvmuZ28qBP7zn+g6mpdLsF0zTobVTuKL8zf3mPJP51T02wuJbttS1ML9pZdsUIOVgX092Pc1r0zWo1GPs4v19f+AFFFFIxCiiigCjqGkW+olJH3x3EX+rniO10/H09jxVNZdb0/KzQxajCOkkbeXLj3U8E/TFWL/WFt7gWlrE11esMiJOiD1c/wAIqumkXt98+r3zkH/l3tSY0HsT95v0p+p1Quor2lrdL7/Lr+KQjeLtKhfy7yWS0k7pPGQR+WRVWLxTo0WpXcz6hCI3VNp5OcD6Vs2+kWFoMQWcCe4QZP41DbRRnV71Si42x8YHpVxtZ/11M5yw91aL+9f5MqJ4ts7zK6XHNfP2Ea7V/EtimvDqupki9mWytj/yxt2y7D3ft+FaNzomnXY/e2cJbsyrtYfQjmqEmk6hYfPpd2Z4x1trpt2f91+o/HNctZVWv3bsbwlR/wCXej89fx2/D5ly1tILG3WC1iWOJeirUtU7HU4ryR4WR4LqP/WQSDDD3HqPcVcrxJqUZNS3M5qSfvbhTZYo54mimRZI3GGVhkEU6orq7hsrdp7hwka9z3PoB3NJXvoJXb03KAsr/TDnSZ1eAf8ALpcElR/ut1H45qVvEqWi/wDE0s7i0OcbseYh+hX/AAqJF1XV8Mh/s20PQsu6dx9Oi/qauweHtPhfzJITcS/89LhjI369Pwr2aCrJfvH/AJm03T/5e6vy3+b2/Mzb7xVot1DB5OoQtidGPUYAPPUVO3jTRA4jivPOkPASNGJP6Vb1OCKKG3EcUaj7RHwFA71clsrWcES28L5/vIDXa7cqOeMsPzv3X96/yMxr3V78AWNmlpG3/La6YFseyD+pqxYaLDaTfaZne6vSNpuJeWx6AdFH0qJ/D0UJL6ZcTWMnYRtmP8UPH5Ypker3OnyrBrcSIrHal3F/q2PbcP4D9ePeo9DV+8rUfu6/rf0T+RtUUgORkdKWkcgUUUUAFZeq304mj0/T8fbJwW3kZEKd3P8AQdzWjNKkELyyHCIpZj7CszQIne1fULgf6RenzDn+FP4F/AfqTTRrTSSc30/MtabpsGmW5jhyzsd0kr8tI3ck1coopGcpOTu9wqha/wDIZvv92P8AlV+qFr/yGb7/AHY/5Vcdn/XVGct0X6KKKgsz9V0iPUlR1cw3UXMM6feQ/wBR7VW0y+kuVkgukEd5bnZMg6H0Yex61s1h6+v2Ga31aMY8phHcY/iiJ/ocH8658TQVWPmjpoyc/wB2/l/l8/zLd3dQ2VrJcXD7IoxljVTTNOkvbhNU1NSJOtvbnpCPU+rH9KjmQ6pr8NocG1tFE8w/vOfuL/M10FZYOgox9o92OcvZxst3+X/B/L5hRRRXacpQ1b/U2/8A18R/zq/VDVv9Tb/9fEf86v1b+FEL4mFMliSaNo5VDowwysMgin0VBZgwGTw9ex20jPJpk7bYXY5MD9kJ/unt6VvVXvrOLULKW2nGY5V2n296p6BdSz2Bhum3XVq5hlPqR0P4jBpm8/3kefqt/wDP/M1KKKKRgZPiUltINuOt1LHB+DMAf0zWqqhFCqMADAFZPiL5beyc/dW9gLH0G8Vr0+htL+FH1f6BRRRSMSOaeK3QNNIkakhQXYAZPQc1Utf+Qzff7sf8qzPE2l6hrX+jW4SKGOMyLI4D75P4RjI24I+9V20097mCO4vllt7x41EqxzcZHuOtXBqzuTNPSxq0VR/sqP8A573X/f5qP7Kj/wCe91/3+ai0e4Xl2L1VtQt1u9PuIHGVkjZSPwqL+yo/+e91/wB/mpsmlxLG7Ge6wAT/AK5qLR7jjKSaaRmeCVeTSJLuY5muJPmOeoUBR/I10dct4Rs4rrw9C4luFO9wQspA+8f8a2/7Kj/573X/AH+ajlitLm+Lcvbz06l6iqP9lR/897r/AL/NR/ZUf/Pe6/7/ADUWj3Oe8uwmrf6m3/6+I/51fqiNJh3ozSXD7GDAPKSMjpxXJalPPH4sm+yPckieL5Q8+T03hV/1eMdc0NrSKBJ6tnd0UUVBQVjW+bfxddxjAS5tkmP+8p2/yrZrGJ3eMlA/gsTn8Xpo2o/aXkbNFFFIxKOtWr3uj3MMX+tKbo/ZhyP1FSaberqGm290vAlQEj0PcfgcirVYkLjQ9Wa2k+WxvHLwsekcp6p7A9R75pm0FzwcOq1X6m3RRRSMQooooAKKKKACs3X7prbR5vKGZpcQxD1ZuB/OtHpWNbONb1UXQGbKzJEDdpZOhb6DoPemjWited7L+rfMj0KFdI1G60oH5Nqzw+4wFb9QPzrerJ12zmdYb+xXdeWbblXp5ifxJ+I/Wr1hfQ6jZx3Nu2UcdD1U9wfcUPuVW99Kr339f+D/AJliiiikYBRRRQAUUUUAFY+kYu9U1HUBgoziCI+qp1P0yT+VP1q+kULp9k3+nXIwuP8Almvdz7D+dXbGzi0+yitYBiOJdo9/embJclNt7y/L+v1LFFFFIxCoLyzgv7V7e5QPE4wQf5j0NT0UDTad0YUV9c6G4t9U3S2fSK9HO0eknp/vdK2o5EmjDxuro3IZTkGnEBgQwBB6g1kt4fjgkaXS7iWwdjkrHzGT7oePyxTNm4VNZaP8P+B8jXorHZ9ftsARWN4vqHaJvy5FON/rG3jR03e90uP5UWF7F9GvvX6mtUU9xDaxGW4lSKNerOcCsxf7fuR8/wBhsgf7u6Vh/IU+Hw/b+etxfSS306nKtOcqp/2V6CgPZxj8cvu1/wCAVZHuvEb+VEslrpX8chyslx7L3C+/etyGGO3hSKFFSNBtVVGABT6KLkzqcy5UrJf194Vi3dhc6fePf6SgcSHNxak4En+0vo3862qKQoTcGU9P1W11JCYHIkXh4nG10PoV7Vcqjf6NZ6iyyTRlZ0+5NG2yRfowqt9k1m04tr6G6QdFukw3/fS9fypl8lOXwu3k/wDP/hjXorHS+1teJdJhY+sd0MfqKPtWvSuFTT7SBT/FLcFsfgoosHsJd196/wAzYrKvNa/fG00tBd3vcA/JF7u3b6daYdIu73/kJajIyd4bceUh9iep/MVpWtpBYwLDawpFGvRVGKASpw1fvP8AD+v6uVNL0oWHmTzyefez4M05HX0AHZR2FaNFFIznNzd5BRRRQSFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//Z)
Answer:Side of square, a = 7cm
Area of square, AS = a2
⇒ AS = 72 = 49 sq.cm
![](data:image/png;base64,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)
⇒ R = 3.5 cm
There is a quadrant of each of four circles that is present inside the square,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ AQ = 9.625 sq.cm
Shaded area = Area(square) – [4 × area(quadrant)]
⇒ Shaded area = AS – [4 × AQ]
⇒ 49 – (4 × 9.625)
⇒ 49 – 38.5
⇒ 10.5 sq.cm
∴ Area of shaded region is 10.5 sq.cm
Question 8.The area of an equilateral triangle is 49√3 cm2. Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle as shown in the figure. Find the area of the portion in the triangle not included in the circles.
![](data:image/jpeg;base64,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)
Answer:Let the side of the triangle be ‘a’
As we know that,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ a = 14 cm
Radius of each circle, r = a ÷ 2
⇒ r = 7 cm
![](data:image/png;base64,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)
Here, θ = 60°
![](data:image/png;base64,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)
⇒ AS = 25.67 sq.cm
Required area = Area(Δ ABC) – 3× areaof sector
⇒ Req. area = 49√3 – [3× 25.67]
⇒ 84.87 – 77.01
⇒ 7.86 sq.cm
∴ Area of the portion in the triangle not included in the circles is 7.86 sq.cm
Question 9.Four equal circles, each of radius ‘a’ touch one another. Find the area between them.
Answer:Radius of each circle, r = a
![](data:image/png;base64,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)
We need to find the shaded area,
If we connect the four centers we will get a square of side 2a.
Area of square,AS = (2a)2 = 4a2
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Area of shaded region = AS – [4 × AQ]
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Question 10.Four equal circles are described about the four corners of a square so that each circle touches two of the others. Find the area of the space enclosed between the circumferences of the circles, each side of the square measuring 14 cm.
Answer:Since each side of square measures 14 cm, so the radius of each circle is half of the side.
Therefore, radius of circle, R = 7 cm
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)
We need to find the area of the shaded region,
There is a quadrant of each of four circles that is present inside the square,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ AQ = 38.5 sq.cm
Also, area of square, AS = 142 = 196 sq.cm
Area of shaded region = AS – [4 × AQ]
⇒ 196 – [4 × 38.5]
⇒ 196 – 154
⇒ 42 sq.cm
∴ area of shaded region is 42 sq. cm
Question 11.From a piece of cardboard, in the shape of a trapezium ABCD, and AB||CD and ∠BCD = 900, quarter circle is removed. Given AB = BC = 3.5cm and DE = 2cm. Calculate the area of the remaining piece of the cardboard. (Take
to be
)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQIAAAChCAIAAACj0ibzAAAAAXNSR0IArs4c6QAAGrNJREFUeF7tXQtcTdn3P91pUmr8JUzkcWuKwRhEgxDj8UNRqd8wZEZmygwzuJgZM7/yGPKamdQQzSPU9PBWiRhN5FFJuaJQXY9QCpX0urfU9V/nnuT2MJ3uved59/mcjw/uPnuvtfb67r3XXmuvrfPixQsMPUgC2i0BgXazj7hHEsAlgGCA9ABJAMEA6QCSAJoNkA4gCaBFEdIBJAFkGyAdQBJQSACZyEgRkASYhIFMEjzXcoifuBZ1A5IAwxJgbjaQ30tKMRhvei3jroxhGaDmmZdAhdjP3lJo/uqd6h0mLpTTRZgqMNDR0VGfPPntVPHwTz4emheVeI82btUnG9VAjQSMrJcdveA/HZvodyH37q3cqye+eGOvyzehEpqGSB2GgilgRfRz0qgVM/K3jPYzPxzpbtU6HmuwF9WKPiD+AmupOgyTYS/gT3jVDAmB5ptRoGPYrMvfwDDdpv+p8xY5zXgD02lPrqR2lqotjFo++tj4C0HOpiCAWrG/jTe264DI2ogGcTAEA3l2yJxTA8MWW1clrBoRZBkdNM9Kvwm30oys0rA4DFOeKmAWUlPdaRApNAF0Np8wgXLyxAPemjwNFTbg8GUr+OTcvHyTz9/UIOfPJUW1Z5+oWaHcUr/XoYV6PTq/rEcZBmWSKF/R/8oW/LPFqbuemg2R+ZwZGMglwa6TfsyoJ7D9wLVHDrv3VR6N5dLq3J7ryDCAyjAigXYuJgJjZQUFhMvrauXV5dXVZdV1z+GfOpgOIFa3qrBMXl0ru1fehM43MMEHiT/oW5k1goEopqFYx6WHLy6zbjb5UsIuIzCAFdF3fwlXrx8HI4G8LOHH5uuiqvTbhRN3t/+qW8fZlpTwrblKBe119cxIros01yoLaiopKSsufgaEpFy6fvPG/fDQ420i6oc6u3nn/ZrCoH5RpJgNRKd6++8PcO7V+nq5TQ23VJgJGFSk+osu2fkvtDZSMAj//GgrtiFQZN2xgcLi0LhnyxK6Rg4zsu2uNo+oAs1IQCqtzst7fO9egeRW3v59cbl3Hjav123e/B49e3br1g1+ervr2527dOnRo4eBgQEJChrbBlhetIfjCmx1valA4nt1itAOA9z0cQ14ir2c8mCnbObMX29imPF4/6N/OPcgmMn/Ykf14YfCXHuBAT2zojoy5Pm3MOrHnkhKSrwWeyyxCaug9P369zd927S3UGhiYtKpUyc1ZKEMg5rC1N2r523P9wzev8yGBhuZdhiQkBNhGLRzMTYLHEOiOCqieQmA6ovFWWJxdmxsYu6dgoYG7B2dbEeNHj58BOkxniRtDaNhQ3nT8UvXfes5wYpYMlD8sBEGFUk3HjuG/59vH5O571LMPqq+kQSuXpVkZN5uMvDbOzr+Z/JUc3OLPn36kFvecE+qbITBkx3R5WsumZ4a2X5QF+5JlIMUg/YnJWfs33eqYeAXWghHjRn34YcTrIcOVW+p07I4avKKYM6H3VKBQTs2CIyNMLjv+kvt2afIMKBaP5pr/6LFnn3eHWxjM9zMrN5Io4iGgu/DpEE3uycvUtopoqgpUtWyDga1JeX3+2xGhgGp3lOpEGz4pKfn+PvvS0nOJCoYbmsz3cnF3t6JioG/RRrZBgM67I82dZYs6wGU1x+FlkNtEhupwgCAsPCT/frOnD3LGzAgtOjls3lD4qW0/Qdj5s6dTxsGSNFKbyHWzQbIMKBCAYj1z5aNIS+H/+GiZStH2tpS0RYX62QdDAjDwOKRIxelyTaam6x/YPifNecTW1u7QYMGsY1UZulhFwwIw8Dg867dNo5gVi48aD05OQMWPwQj9tPtv1i4FGn/67qVXbZB1WUJbhh8gAwDtWAIAFi06CcCA0KLd/x3BO78bTfCwL/IlF2zwaNN+yt9r3W/MEbfylgtRdDWjyWSB8HBx8NDTyj2f0bNdps7efIUvvq8NNjJ7IJBru16eY4MGQYqdHBjAIwWLVvOZgsYbZi+totxz2KODAwDFZRAmz8BOzjwtyOTJnwNk4DQwjIoOHT/wUNsxgALO4tFtoHs5n1kGLRJRQAAUdHnpk4VETuhK71XnzgVN3HSpDZVggqDBFgEA2laDhBkMECdYF0t6tP8/Cfu7utFi30h7n/REpE448bChYu4YgboDehu4NGPJQFFoDQssg3AMIDDaMLzU7RIl1VlNSr6vGjxL4qNIMtNW35CSyBVBVn/HVtmA5kkHzcMpiHDoJUOhUlg0VfbCAzATiisghAG1MQAixZF0sxcfEU01ER9lvhag1RaExWdOGqkR2xM/HDb0dGxfzs7z+DKKojlncKa2SAlG7eP+yHDoGWFgUlgxTe/iRb/REwCwX+FIneYBqHFFhhIg24L+uhpZ4qHVrsTLAE3tw3EJAABoTyYBOCA4dPIJIidaZV3egqwAgZgGOArImQYNOtzWAh5eQWBJZB7567Plp9hEqD6QAw9ald+VPzU83htcRk9zbXaCitggAyDFvsJ3xKd/1N4aAxsB4ElMHfuJ8gSaFWhVSvAChhUnUxHhkGT/ktOznJz25iSlAo+AdgOQpaAavpN8ivm/QZEOhZdO8NeByeQJJr3xQJ/O7llYyCwCY5hcIrxj1+2HclnfjaQZefhhsF45DHAtR2MgUVf7QAMENFBvMQAsAk5KeAwPnu8yMzDQJpxB4fBIOQxwMAYmDr129iYU/aOzkeij6LoINqmQeZhILuAhxLpv6vtHgPAgJubT+6dXMCA71Y/bT4gT5v2NzTEMAzAMIBcpWAY6HZqer8B/bJgsMXk5ExwDwMGwBgADPB+RwhsAzx8Rkrc28L8wzAMkGEAKqA4NOzVYBDzHgPAaXHAyYcjdwIYmEeAggKGYVCZiGeM0mbDAE7MEIeGeWwQs0TX/4UMhmEgjddqwwAwQJyY2XvwCDKIGUQLk34DIh2L1noMlDGgbcHSyG/wCvOyrHvwD0OnhtuvGBwO6G6awABkT4lLOK9tGEB+g0baJr2iOHU5ULs8BnCA2MsrkFgL/Rqw08rKim4IovaaSYBJ20Aafwvo0e+jXSmJVqz4NTz0pNDCAqLlUKQQSyDJGAzAMKg99wwSuGvV7WawFoIbxOASjfB9BxAGWIIBJjdMqy7DtX/alcAd/APEWujP3Tw5NqCyHkO6LniR3wCTpuHpSrXHMIBYiQb/ALIH4KobeJEXGZPG3NYew0ARL7RK4Sf2Rv4BlecQ6j5kxjZQ5Gms1hLDALaGAANwu96iJYsXLvyaur7kUM2Qqwul68LKTl0smhNj/PsAY+d3ONR5qpEKOdYVZrHFkehjKG5UNRlS/RUzs4FUcY+BNuRpJLaG7KdPOXEqHmGAam1WuX6GYBCDH7Xh/SUGL13FPX02btWGuFGVtZDxDxmAgSJPYw3vE7grbY9GoHmAcUX/dwIYgIE0QxFVyuubncAs/uGHHcCm/47taHu0uQrCUKjtx25kKfw3DHx8duNbQ4u/cHb+iOUDISPkwZkbbT92I92FB5by2DAAkwCihuynj1+89HtGlAw12lYJ0L0okknwK20Ml/doK6FcKR8VfZaImPBatRmZxVzpNbphIM1QrIh4msAdvMX+fntxkyDAz8ysF1eUgH46jf90gFfXpAP9TbfYIt0wkKUogqv5mMAdzOING/aASeD2qavzjNks6WB2kmE8wxZe3U5vsYQ8WmEAoVTSXff5msD971MXFd7iHt6r8ato0MMhCdAKA1k2bhjwMoE7LIdEi7cCd+H7jiCTgEMAIEilFQbSa7w1DGA5pDAJfkUmAecwQDcMZBdwGPDPMPjnn0uwHBpu+4HzjFlcVAL6ab7T2Qte+tt9XYv0zQZ4nsYjj/lnGIBlDM4ykK/PRl/29Cv3KKm4HuIx0lJo/r5HWHaFvDH9RQneY+EnS+HYVQmUJLqjDwZ8NQy2bz8Au0M+W7agoAk1sFcqPpTS2+dszsUgl/yQsLQS5arkkpORln/k5N69lXt2/bjOarTy2k/pgwFhGBiOMaWCDabqvHpVsjPgEByxd3WdyRQNXGyXOHajRHlHa/fPxpnqCUz7DjETWpoZKf1UdC7kz+Nr3b/0i5M0nSU0xjp9MKiMwtOV8imBOyyHNm4MBqY2bUFx1G3TyG6b58Lb7JsySVR42miRq5VyevPO43zOpMet6399tasoQnm9JC9M3q5YR1lO3ZCQl+w/BFZN8/2D1zjgK6vgtNTgBf3NLfsvDMlu/aJBmmBApGPhWQJ3cBSkJGe6zftUC9POtU3rSZWuEPt9PFX02961q4PEpY2/EBhZTRL5b/us0Xqp6FzA5ozRQel3zvoKEyLSeopO+I3Hsm5gM/df2+OU9POaYz3XZaYGudzYHnurtjUCaIKBLOsuUMKnm51KSsoIR4H7fM/WhIx+JyMBI+tlsTkXI5ZOfLj7SHoLA7jRQIdZwkelsvq6yjLjj/R2mNLXSNDLKTDuD2ciSs0G/5/2HUzatTMb0tdUoN/BxJBM2zTBQHpF4THg0c1Ovr7hwJHbPHdkGZPRM5JlBKY2H02zeX1hg7c7Kq+XSkrLWx3oSbVMFwyIPI18udkJfMYQSg0crfjmO1JiRoUaS4BI19WCVOSPs66UO018r1nMnbwi+9DPkVYzhr28HMzIYtjY275bTz6EzVV5dkRoek156ROsCTBkZcWVNcVlVa3Jnw4YKAyDMj4ZBmcSLoNg/XcEotOVrSlYy78T6bpe/SbPDnEagBu7761Jt/vfSnxXtLYwaomlR1RhWcKq/mMdpo6aFSr48vcvrI1eaqyg1/Q1Pi65XnYW5pYOh7p/KN0588cMLHH9TI8F7h4BT5+eFi1d4OHqEXa/Kmz5N1H4bav/8tBxv0FF0rXHjvvfWmveZeFA1aTGqq9gKoB7yiDhCiSbQOFDqnUN4UK2KNqg2uca/4qO2aDy7DWg29CWJx6DnTsPATuz5sxFGNC4OjJVIR2zQa7tOshRJ8y150HyamIqgN4SZ9xAKyKmtFbj7VI+G/AsT2N9JCmyCjSuiYxWSDkMZDcUe0SjujDKpmYah9AJiCSFuiZPnqKZGlEt7JAA5TCoz9PIi5udDhyIh16DG7yRVcAO7dUYFdTDIAb3H/PgZieJ5EF46AncOJ71scbEjypihwSohQGfDIN/4lOhyxYtESHLWH3V1a5jN5WXMnhjGOzf9w/wMsPFVX0lQDWwTQLUzgb1eRq5bxhcvXor906+27z5KIKIbRqsEXqohQGRp7H9IM5vEx04gE8F06ZN14jQUSVEui72yIFCGEDKYuCTBwncFYF0J4QWloOHDGFPz3GaEiJdF3tYoBAGvEngfjTmPHSYaMUKtE/KHsXVLCUUwkCWgt9jwPWbneB4DZGa185urGZFj2pjjwSoggGRpxHfJrIyZg+3KlAiFmfBV/aOzmifVAXpceUTqmBQn47l865cEcTr6DwSmQw/ffLJp1xnhFX0P41Mgpc9JFEFAyIdC9dvdiopKY+NOQ2MIONYsyr71PM4vJqtU53aqIIBkafR0Ibbs0HsiRTgAjzHyDhWR8nY/y0lMOBNnsaYGHxFNGaMHfs7klsUNkvXxTD5lMBAlp2L7xFN4/ZUAO6ClKS04bajURoijSvpa9J1abwdshVSAgPptWwcBhy/2Sk1DeditpsbWVmicpyVACUwqIzCkw5wPYF7aip+YMjc3IKznYsIJysBzcOASMfC9QTuUmlN4oV0CKAYNGgQWVmicpyVgOZhILuJD6JcNwz+PpWce+eu/bRpnO1ZVhPOf7+B9AruduW6YbB3L+4uQHtEFIGJ/34D6Wk8uJrThgF4zVKS0oEL5DWjCAZsq1bDi6LaktLac+WQp1HPjC1X3qog8QcPCuErdPReBdFx9BMNw0B2U5G5ejy3PQZJyXhsbLdu3Tjaqewnu3vyInjZQ6eGYSC9ogiu5ngC94QEMXBhZKh89RB7uowPlOhbmcHLHk40DIPKCB4kcBeA8xh6yHroUPb0E6KEUgloEgY1eQXynBquJ3CXSHATH2Io0AEDSjWPVZVrEgayG3wwDO7deww9NN3JiVX9hIihVAKahIE0jQ+GwZkEfKt0+PARlMpdyyvnc7ou6TE8FQXXb3aCGArgwsTERMs1VavY19hsQBgG7VyMdTspX9LGMWHCVce5d/Aj1Mgw4FjPqUeuxmBAGAZcT+Cel4cbBnDcTD2poq9bkQBvj91Uxl8H1g04nqfx3r1H+FapNdoqpRbJvD12I92FXzbI9QTuFZX43aG9hUJqtQDVzjIJaGZRJJPg62kwDLh+u1nqJXxO69GDuHIdPdoiAc3AQJrBB8MA+jwxEc9Ej/JQaIv6v+RTMzDgRwJ3uM8GsrdrmwYwwi8/j91Idz3ggWFw/cYdtE1EDyp4eOymKh1fEfHAMCA0oE/fvvSogpa30s61N3skoIFFkfQaHlXafnJ39nClDiUDBrynzufoW5ISEBi3J1mShmIagAGRp5HrCdyBhYKCYhokjpoACVgUbQDXAXtEoS4MFHkacZcT1xO4Awt5D56wp2MQJXRKQF0YyLJxrxkPbnYCLsJDY+FPdMkfnfrHkrbUhYH0Gh5czfUE7izpDEQGUxJQFwa8MQyY6gB+twvXQLb4lp/PhKvj2cO7zosXL1SmBvI03u+zGbd4HjmqXAlLPoT81aNGesDlTjsDf2MJSRwlA47UkKEcgkzZYyWrNRvIsnCvmeFyPkTgVFXJgBdjY27f1EZG/2grQ0RTt/jSRgPJhtSCQX06Fo4ncCcpKVSsrRIgoqlbfNtaFdXl1YNBvCKirl8nqqmkof6iolJopUfPnjS0hZqAXF0mX09hjxxUh4EigXsp1xO4N/TEo8cl8HeUqY4e1YRcXXo9OtPTFplWVIeBLAvP58P1BO5kZITK8F4CLcOgVuw3TGhu+eod4OAdnCApUxYHMgx4rxzaw2DLMNC1XpZ20W88Nt33ouRW7u30OP9Jhb97OK2JfljTIJrK8EzeGAba099s5lReKI7283wfH3xHLtgWnxB6UFxLE71kFkUCI6tJoq2bZmNRq3YmETMC+D7kOdW8MQyAo5xsfPMXPfRIoOD7sOJQ/CKVV09F6rb5Hn8UOxzOvH0r9+y6kZKITecfFNGEAzIwUJDaYdgMz35Vx6/cUhAmu5kLfxrOYVFSYjX779mzCjVrQJ+Tl4A06GbN9YdK5WWSQ78GYPPXf+9oZQQ6qWdq89najYPfIF+jeiVf70UujFow4rTDxa1OprqKJirEfjNn/jXpQOoya13s0aaISt/rXSOHGdly5phBTX65vOq1o0uIX2TG0ZvOqz1HTxyvnkjb8HXtk2fPH5W24QPqi8orZI0VtM1NgooT34Dj7HUfQxldW5NeR5fXF5Bnh8xw2T4u9CKuXAw8bYRBwswTke5WAuzuoLUv8p/ru5no6LeMWOkuPO8VepAEXicBQV9DYeL/6n+tFfvbuIZ9epjtMJA/jPp6otc9z+D9y2zg9ouClQHSXQV86mOdKV3lhnpvGrR7U1+Pu3zpD7fgCvFvvt3RyLY/h2AgqJDEB21ZHZA/LWjPt+NMcS3B7zgrysdeVMLfdU0MdY2J+LzmSw6YK3QwHchqCn95E8MEmA4cvWtpAtHh8F1pXNE8FtNZlODt6nH5vwcOfmWN2wbwyCvEUfFv2TtZ0ZESt+VFEfgNRrhsK30lNtPxS1d+OdveWoEB9CAJaFwC9csNF6/1X//X2hQrTA3ZkTx45RJ86UHHA4HWDD3PciJX2/cWvtPb0Tsyq5whIl4URHriNCi/U/0uM0YOU2JgQbt15Tmn/D4foeiLEZ5bT+WU19FGFUZbS00aqsvZt2ZPZvmL6vxI0cDebsE5UqYoUSBhcVTBcwUBQI/PNrphUFeeFerZT9H9uEyaPE/OeNkplMPO+8wTxqTE64YZg8ErqdZlBTuO8Ix8wJicG8GACSrKLwf/eqagrrrgjI99v9VnnjUaBetyQpfsyaJvYGRCAIy3Sdp9Rt0CTWDYsYvx2x315YXJ2z1G4oFMUzfERW3Ag5rm/xKyxgl3rQcnpgUvBDf7+x5h2RVy6miRP4zdHoMnGaD1MbKet2ScqUDP9N0BZlbmZvU2IkFC0bmQP4+vdf/SL05CJeO08su+xlgAg7JbaZdtJljLzwVszhgdlH7nrK8w4SA255j/dCzlNjYnRBz8n4trfzomXJV+bY9TUsSJHDz3uqafmBUjrACBfWy9M+o0XTfJ+iqyowMzRv3kAm4ZpafzOJ8z6XHr+l9f7SqKUB4ClEeNhLxk/yEQijPfP3iNAz5YBKelBi/ob27Zf2FIdqOASJK0aFsxxmFQ8/B0ip7fF3bYjfgjvR2m9DUS9HIKjPvDWXH8xXby5L4d23foqIf1HvJuV0H7DibtKOogIojwbk6Sz0DaPPjKrID/aMyUFSG714tCxE1HfUVMl/+2z/JDwtLwQxH1s4TSqBGR1lN0AkIhs25gM/fjg8XPa471XJeZGuRyY3ssEf6Cnn+TALMwgL3hkMDSacvGdVfQUVJaznCXCbrbL57OxNFqXWvRlewLB1eOv3co8pWuK/Wc0UCHWcJHpfiBafwpy2w8ahA02+DjCD5YtDMb0tdUoN/BxBCpPxkJMAgDeUX24aDrtivdBxhhZZLs55Zjb/tuPfkQVv7y7IjQ1KelJdiT0nJlQ6CqrLi6srjspSqQ4Y9smQYEyiskUWv9zjGxkoB4smkOtv+iuAZgQSkxxPyoQVa6rC/HFAwAAxHLZ3wXsGraYEV8+XfXe7mt8XHJ9bKzMLd0ONTlrdOfrE3Erv44e4HnZ7gjL2bFNwsXjJ2/t+r+Xvd10YWamzTwCMJlp7HE9ZP6KY4ZvTN4kl/dkP4dmOg5eWH2lScjJ1g3P9sN4jr0c6TVjGEvfzKyGNZo1EivKS990nQ6lZUVV9YUl1FhSzEhHirbZHyvChFQl7PHWeG/G/j5tvicZwqBPIj63A7fRH52xrufnf2UEfZe4ZcLqpVlVVfwz5op/XF/whSfMw+S/AYrPICD3TzdhiicDC6enxPehiFMbkZzpHfVStdFJTxR3UgC9EmAqUURfRyilpAEWpUAgkGrIkIF+C8BBAP+9zHisFUJIBi0KiJUgP8SQDDgfx8jDluVAIJBqyJCBfgvgf8Hqvui7Fa7Q78AAAAASUVORK5CYII=)
Answer:AB = BC = 3.5 cm and DE = 2cm
⇒ DC = DE + EC = 2 + 3.5 = 5.5 cm
As we know that,
![](data:image/png;base64,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)
Height of trapezium here, BC = 3.5 cm
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ AT = 15.75 sq.cm
Now, area of quarter circle = AQ
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ AQ = 9.625 sq.cm
Required area = AT – AQ
⇒ Req. area = 15.75 – 9.625 = 6.125 sq.cm
∴ Area of remaining piece of cardboard is 6.125 sq.cm
Question 12.A horse is placed for grazing inside a rectangular field 70m by 52 m and is tethered to one corner by a rope 21 m long. How much area can it graze?
![](data:image/png;base64,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)
Answer:The length of rope to which horse is tied will be equal to the radius of the quarter circle that the horse grazes.
⇒ Radius, r = 21m
As we know that,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ Area = 346.5 sq.m
∴ The area that horse can graze is 346.5 m2
A rectangular acrylic sheet is 36 cm by 25 cm. From it, 56 circular buttons, each of diameter 3.5 cm have been cut out. Find the area of the remaining sheet.
Answer:
The dimensions of rectangular sheet are 36 cm by 25 cm.
The Area of rectangular sheet = 36 × 25 = 900 sq.cm
From this sheet, 56 circular buttons are cut as shown,
Diameter of each circle = 3.5 cm
⇒ radius of each button, r = 1.75 cm
Area of one button = πr2
⇒ Area of each button = 9.625 sq.cm
Total area of buttons cut = area of each button × 56
⇒ Total Area of buttons = 539 sq. cm
Area of remaining sheet (area shaded with blue) = (Area of rectangular sheet) – (total area of buttons)
⇒ Req. area = 900 – 539 = 361 sq.cm
∴ Area of the remaining sheet is 361 sq.cm
Question 2.
Find the area of a circle inscribed in a square of side 28 cm. [Hint: Diameter of the circle is equal to the side of the square]
Answer:
Since the circle is inscribed in a square of side 28 cm, this means that the diameter of the circle is equal to the side of square.
Diameter of circle, d = 28cm
⇒ Radius of circle, r = 14 cm
As we know that,
Area of a circle = π × r2
⇒ Area of circle = 616 sq.cm
∴ The area of circle inscribed in the square is 616 sq.cm
Question 3.
Find the area of the shaded region in each of the following figures.
[Hint: d + +
=42]
d = 21
∴ side of the square 21 cm
Answer:
The shaded region is formed of four semicircles and as the base of these semicircles lie on the side of a square, therefore the diameter of the semicircle is equal to the side of the square.
⇒ diameter of semicircle = side of square = d
It is shown that, r + d + r = 42
⇒ d = 21 cm
⇒ Radius, r = 10.5 cm
⇒ A = 173.25 sq.cm
Area of shaded region = 4 × (Area of semicircle)
⇒ 4 × A
⇒ 4 × 173.25
⇒ 693 sq.cm
∴ Area of the shaded region is 693 sq.cm
Question 4.
Find the area of the shaded region in each of the following figures.
Answer:
Diameter of bigger semicircle, D = 21 cm
⇒ Radius of bigger semicircle, R = D÷ 2
Diameter of smaller semicircle, d = 21 cm
⇒ Radius of smaller semicircle, r = d÷ 2
⇒ A1 = 173.25 sq.cm
Similarly,
⇒ A2 = 43.31 sq.cm
Area of shaded region = 2 × (A1 – A2)
⇒ Req. area = 2 × (173.25 – 43.31)
⇒ 2 × 129.94
⇒ 259.87 sq.cm
∴ Area of shaded region is 259.87 sq.cm
Question 5.
The adjacent figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii (each 42 cm). Find the area of the shaded region.
Answer:
As we know that,
From the above figure we see,
Diameter of bigger semi-circle, D = 42 cm
⇒ S1 and S4 are bigger semicircles with Radius, R = 21 cm
Also, S2, S3, S5 and S6 are smaller semi-circles with diameter, d equal to the radius of bigger semi-circle.
⇒ d = R
⇒ AB = 693 sq.cm
Similarly,
⇒ AS = 173.25 sq.cm
Area of shaded region = Area(S1) + Area(S4) + Area(S3) + Area(S6) – Area (S2) – Area(S5)
⇒ Area of shaded region = AB + AB + AS + AS – AS - AS
⇒ Area = 2 × AB
⇒ 2 × 693 = 1386 sq.cm
∴ Area of shaded region is 1386 sq.cm
Question 6.
The adjacent figure consists of four half circles and two quarter circles. If OA = OB = OC = OD = 14 cm. Find the area of the shaded region.
Answer:
Let the area of a semicircle be AS and the area of a quadrant be AQ
Since there are four semi-circles, out of which two are shaded and two are unshaded, therefore the area of shaded region is equal to:
Since the area of shaded region is equal on both sides of line AOB,
So, if we calculate area of upper portion, then we can simply twice that area in order to get required area.
In figure above, S1, S2, S3,and S4 represents semi-circles and Q1 and Q2 represents quadrants.
⇒ Area of shaded region = 2 × (area of upper shaded portion on line AOB)
⇒ Area of shaded region = 2 × [area(S1) + area(Q1) – area(S2)]
As S1 and S2 are equal because of same radius, therefore their area will also be equal i.e area(S1) = area(S2)
⇒ Area of shaded region = 2 × area(Q1)
⇒ Area (Q1) = 154 sq.cm
⇒ Required area = 2 × area(Q1)
⇒ 2 × 154 = 308 sq.cm
∴ Area of shaded region is 308 sq.cm
Question 7.
In adjacent figure A, B, C and D are centers of equal circles which touch externally in pairs and ABCD is a square of side 7 cm. Find the area of the shaded region.
Answer:
Side of square, a = 7cm
Area of square, AS = a2
⇒ AS = 72 = 49 sq.cm
⇒ R = 3.5 cm
There is a quadrant of each of four circles that is present inside the square,
⇒ AQ = 9.625 sq.cm
Shaded area = Area(square) – [4 × area(quadrant)]
⇒ Shaded area = AS – [4 × AQ]
⇒ 49 – (4 × 9.625)
⇒ 49 – 38.5
⇒ 10.5 sq.cm
∴ Area of shaded region is 10.5 sq.cm
Question 8.
The area of an equilateral triangle is 49√3 cm2. Taking each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle as shown in the figure. Find the area of the portion in the triangle not included in the circles.
Answer:
Let the side of the triangle be ‘a’
As we know that,
⇒ a = 14 cm
Radius of each circle, r = a ÷ 2
⇒ r = 7 cm
Here, θ = 60°
⇒ AS = 25.67 sq.cm
Required area = Area(Δ ABC) – 3× areaof sector
⇒ Req. area = 49√3 – [3× 25.67]
⇒ 84.87 – 77.01
⇒ 7.86 sq.cm
∴ Area of the portion in the triangle not included in the circles is 7.86 sq.cm
Question 9.
Four equal circles, each of radius ‘a’ touch one another. Find the area between them.
Answer:
Radius of each circle, r = a
We need to find the shaded area,
If we connect the four centers we will get a square of side 2a.
Area of square,AS = (2a)2 = 4a2
Area of shaded region = AS – [4 × AQ]
Question 10.
Four equal circles are described about the four corners of a square so that each circle touches two of the others. Find the area of the space enclosed between the circumferences of the circles, each side of the square measuring 14 cm.
Answer:
Since each side of square measures 14 cm, so the radius of each circle is half of the side.
Therefore, radius of circle, R = 7 cm
We need to find the area of the shaded region,
There is a quadrant of each of four circles that is present inside the square,
⇒ AQ = 38.5 sq.cm
Also, area of square, AS = 142 = 196 sq.cm
Area of shaded region = AS – [4 × AQ]
⇒ 196 – [4 × 38.5]
⇒ 196 – 154
⇒ 42 sq.cm
∴ area of shaded region is 42 sq. cm
Question 11.
From a piece of cardboard, in the shape of a trapezium ABCD, and AB||CD and ∠BCD = 900, quarter circle is removed. Given AB = BC = 3.5cm and DE = 2cm. Calculate the area of the remaining piece of the cardboard. (Take to be
)
Answer:
AB = BC = 3.5 cm and DE = 2cm
⇒ DC = DE + EC = 2 + 3.5 = 5.5 cm
As we know that,
Height of trapezium here, BC = 3.5 cm
⇒ AT = 15.75 sq.cm
Now, area of quarter circle = AQ
⇒ AQ = 9.625 sq.cm
Required area = AT – AQ
⇒ Req. area = 15.75 – 9.625 = 6.125 sq.cm
∴ Area of remaining piece of cardboard is 6.125 sq.cm
Question 12.
A horse is placed for grazing inside a rectangular field 70m by 52 m and is tethered to one corner by a rope 21 m long. How much area can it graze?
Answer:
The length of rope to which horse is tied will be equal to the radius of the quarter circle that the horse grazes.
⇒ Radius, r = 21m
As we know that,
⇒ Area = 346.5 sq.m
∴ The area that horse can graze is 346.5 m2