Area
Class 8th Mathematics (new) MHB Solution
Class 8th Mathematics (new) MHB Solution
Practice Set 15.1- If the base of a parallelogram is 18 cm and its height is 11 cm, find its area.…
- If the area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.…
- Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its…
Practice Set 15.2- Lengths of the diagonals of a rhombus are 15cm and 24 cm, find its area.…
- Length of the diagonals of a rhombus are 16.5 cm and 14.2 cm, find its area.…
- If the perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is…
- If the length of a diagonal of a rhombus is 30 cm and its area is 240 sq cm, find its…
Practice Set 15.3- In ABCD, l (AB) = 13 cm, l (DC) = 9 cm, l (AD) = 8 cm, find the area of ABCD. .5…
- Length of the two parallel sides of a trapezium is 8.5 cm and 11.5 cm respectively and…
- PQRS is an isosceles trapezium l (PQ) = 7 cm. seg PM ⊥ seg SR, l(SM) = 3 cm,Distance…
Practice Set 15.4- Sides of a triangle are cm 45 cm, 39 cm, and 42 cm, find its area.…
- Look at the measures shown in the adjacent figure and find the area of PQRS.…
- Some measures are given in the adjacent figure, find the area of ABCD.…
Practice Set 15.5Practice Set 15.6- Radii of the circles are given below, find their areas.(1) 28 cm(2) 10.5 cm(3) 17.5 cm…
- Areas of some circles are given below find their diameters.(1) 176 sq cm(2) 394.24 sq…
- The diameter of the circular garden is 42 m. There is a 3.5 m wide road around the…
- Find the area of the circle if its circumference is 88 cm.
- If the base of a parallelogram is 18 cm and its height is 11 cm, find its area.…
- If the area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.…
- Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its…
- Lengths of the diagonals of a rhombus are 15cm and 24 cm, find its area.…
- Length of the diagonals of a rhombus are 16.5 cm and 14.2 cm, find its area.…
- If the perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is…
- If the length of a diagonal of a rhombus is 30 cm and its area is 240 sq cm, find its…
- In ABCD, l (AB) = 13 cm, l (DC) = 9 cm, l (AD) = 8 cm, find the area of ABCD. .5…
- Length of the two parallel sides of a trapezium is 8.5 cm and 11.5 cm respectively and…
- PQRS is an isosceles trapezium l (PQ) = 7 cm. seg PM ⊥ seg SR, l(SM) = 3 cm,Distance…
- Sides of a triangle are cm 45 cm, 39 cm, and 42 cm, find its area.…
- Look at the measures shown in the adjacent figure and find the area of PQRS.…
- Some measures are given in the adjacent figure, find the area of ABCD.…
- Radii of the circles are given below, find their areas.(1) 28 cm(2) 10.5 cm(3) 17.5 cm…
- Areas of some circles are given below find their diameters.(1) 176 sq cm(2) 394.24 sq…
- The diameter of the circular garden is 42 m. There is a 3.5 m wide road around the…
- Find the area of the circle if its circumference is 88 cm.
Practice Set 15.1
Question 1.If the base of a parallelogram is 18 cm and its height is 11 cm, find its area.
Answer:we know that,
Area of parallelogram = base × height
Given that base of parallelogram = 18cm
![](data:image/png;base64,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)
And, the height of parallelogram = 11cm
Area of parallelogram = 18 × 11
= 198 sq cm
Question 2.If the area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.
Answer:We know that,
Area of parallelogram = base × height
![](data:image/png;base64,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)
Given that area of parallelogram = 29.6cm
And, the base of parallelogram = 8cm
![](data:image/png;base64,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)
= 3.7 cm
Question 3.Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its base.
Answer:We know that,
Area of parallelogram = base × height
![](data:image/png;base64,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)
Given that area of parallelogram = 83.2cm
And, the height of parallelogram = 6.4cm
![](data:image/png;base64,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)
= 13 cm
If the base of a parallelogram is 18 cm and its height is 11 cm, find its area.
Answer:
we know that,
Area of parallelogram = base × height
Given that base of parallelogram = 18cm
And, the height of parallelogram = 11cm
Area of parallelogram = 18 × 11
= 198 sq cm
Question 2.
If the area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.
Answer:
We know that,
Area of parallelogram = base × height
Given that area of parallelogram = 29.6cm
And, the base of parallelogram = 8cm
= 3.7 cm
Question 3.
Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its base.
Answer:
We know that,
Area of parallelogram = base × height
Given that area of parallelogram = 83.2cm
And, the height of parallelogram = 6.4cm
= 13 cm
Practice Set 15.2
Question 1.Lengths of the diagonals of a rhombus are 15cm and 24 cm, find its area.
Answer:We know that,
Area of rhombus =
×product of the length of diagonals
Given that length of one of the diagonals is 15cm
And the other is 24cm
⇒ Area of rhombus = 1/2×15×24
= 180 sq cm
Question 2.Length of the diagonals of a rhombus are 16.5 cm and 14.2 cm, find its area.
Answer:We know that,
Area of rhombus =
×product of the length of diagonals
Given that length of one of the diagonals is 16.5cm
And the other is 14.2cm
![](data:image/png;base64,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)
= 117.5 sq cm
Question 3.If the perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is the area of the quadrilateral?
Answer:![](data:image/jpeg;base64,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)
We know that perimeter of rhombus = 4 × side of the rhombus
Given perimeter of rhombus = 100cm
Side AB of rhombus = 100/4 = 25cm
Let BD be the diagonal given = 48cm
We know that diagonals of a rhombus bisect each other
E is the midpoint of BD
BE = 24 cm
Now, ∆ABE is the right angle triangle at E
∴using Pythagoras theorem,
AE2 + BE2= AB2
![](data:image/png;base64,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)
![](data:image/png;base64,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)
AE = 7cm
Area of rhombus = 4×area of ∆ABE
![](data:image/png;base64,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)
= 2 × 24 × 7
= 336 sq cm
Question 4.If the length of a diagonal of a rhombus is 30 cm and its area is 240 sq cm, find its perimeter.
Answer:![](data:image/jpeg;base64,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)
we know that,
![](data:image/png;base64,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)
Given that area of rhombus = 240 sq cm
And diagonal BD = 30cm
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAREAAAAoCAMAAADuSD5tAAAAAXNSR0IArs4c6QAAALRQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjpmOjqQOmY6OmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZmY6ZmZmZmaQZpCQZpC2ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNvbkNv/tmYAtmY6tmZmtpA6ttv/tv/btv//25A625Bm27Zm27aQ29uQ29u22/+22////7Zm/7aQ/9uQ/9u2//+2///bj2BWtwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAEQUlEQVRoQ+1ZbXuTMBQlbLPo5mrRzvcVnZbqlK1qEcj//1/ee24S3uqAdX10e8iHroWTk5vDvScJ87yxjQrsW4H12XLfQ9wr/nyuDr7fq4j3HGx2epmMijREHhVpZt2oyKhIlxONOTLmyJgjXQqMOdKlUOKPe9aKRvoiUEodvu+Sbbw/KnDHCiSqsxRTpRa3GrWbW6/nSh1ZLzCuoC+UOrm81YjVTvr6ieUexph2KuKlrAg+BrYat44ebaQ/y+Cf8o9YnXt5aI5rWYBQGJdHux/hYv+Tl0dM2Zsxe8wB9FAkC+5CkdRmY6KebfRXzD6e0EciWhfha1xDQMP1L17Ki4Hc/K1w1xlbwPIxixZ9FRmYHoDXuOO3wYwvZgHLoD+4ddPMPp4JPOb0KEIGDWk6OmJJinBa7QWyOmMbmFHOcpmuaOmiNy6p/5m+Saxz5dNaxr5xJRmMa+op5YiYCWqTh9QrXvkU1YGlk15y06KqihQvvknZtPYQCNhLTzaAS3EVoS2x3qqgY13J/OKUJtpkbAKzgEoXZWpyRB1f6phj4TtrLpAsOD5fo6RwTX9kMbh0dDTZCDY+WHpXctnSUa8lKqBEVRVJJh7OZbppEahJr3i+lIAk/tJ0OIqY1Ue7yfSoz8/5xHgV0kUpdqsWYwOI0hVnkKpxthlTKDQbvouUQSwcHiASuOkLGJ5HSQeA61oZAb10tBCK5tPXEQ+GTwooWWxTZGueOJWUva0jTtpqWwf0ENqMNWARcgD4rPgIxyp3WAI3eXPNzLWtyMwA0NXM14jZVCQ7MXI3FIG2qFRpRpHhPgJZm4oQ78xVTelMWxRBHC1FEBKJ+ndF9PqM/IOk4dK5pi8io8ksZAD9dqhK1SSWvFE1cSXNa87q0nRY1TSSBDlrnNUxomocsCtHbF1I7gna5Qg7hPwilZV/bgH1HClRpSJsE6b84EO2JahKE6vAsRgPX30lFSi3TN1INYKnwdgCcgxVHxFThSGaOMsckWvORxAy7iZmElKjZVmxNiWqVCTFI0EtcCLb1RdbIh0bMlmFuKzqxrrVRpoXTRdXbpo3Z7lbuErGJhABCZAz6suydNaUNpD6Csuv254mvPE7s0+Ne+SvoJ5NwZLO6DYDL1AggqhG7YK3pxQqjWN2aGIeQkZeAkno3zBYI4a1/I10ycxfL+ej8RQXa4wtoHftgCvlLxBGJuZA2wn/HZeFjZH3Hcqf/gjUQiC0c5n+CumL2AKPZ+kA4AVv5lDgZjH4MlIaNoW9zCENtGOrH4p2JNu1ezHnLPptF+Sb6Ipw+HmoX3i1Q1G/LvtDyTtw8d2OtiL/3U+rHor2M8IAVrijXu1+QB0w5nboLRalncfcSsAnF8WHhn/d5FA0NqdAuVEYRYEC5S5gFMQIMvQtykMXrnooeuhz7TW/2qGoV48HDqofih74ZHtNz7xZ67FL7EX3P4D+ADmPpPJTwUF0AAAAAElFTkSuQmCC)
⇒other diagonal, AC = 240 × 2 ÷ 30
AC = 16cm
We know that diagonals of a rhombus bisect each other,
So let E be the midpoint of their point of intersection.
Now, AE = 16/2 = 8cm
And BE = 30/2 = 15cm
Now, ∆ABE is right angle triangle
∴ using Pythagoras theorem,
AE2+ BE2 = AB2
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒AB = 17cm
We know that perimeter of rhombus = 4 × side of rhombus
= 4 × 17
= 68 cm
Lengths of the diagonals of a rhombus are 15cm and 24 cm, find its area.
Answer:
We know that,
Area of rhombus = ×product of the length of diagonals
Given that length of one of the diagonals is 15cm
And the other is 24cm
⇒ Area of rhombus = 1/2×15×24
= 180 sq cm
Question 2.
Length of the diagonals of a rhombus are 16.5 cm and 14.2 cm, find its area.
Answer:
We know that,
Area of rhombus = ×product of the length of diagonals
Given that length of one of the diagonals is 16.5cm
And the other is 14.2cm
= 117.5 sq cm
Question 3.
If the perimeter of a rhombus is 100 cm and length of one diagonal is 48 cm, what is the area of the quadrilateral?
Answer:
We know that perimeter of rhombus = 4 × side of the rhombus
Given perimeter of rhombus = 100cm
Side AB of rhombus = 100/4 = 25cm
Let BD be the diagonal given = 48cm
We know that diagonals of a rhombus bisect each other
E is the midpoint of BD
BE = 24 cm
Now, ∆ABE is the right angle triangle at E
∴using Pythagoras theorem,
AE2 + BE2= AB2
AE = 7cm
Area of rhombus = 4×area of ∆ABE
= 2 × 24 × 7
= 336 sq cm
Question 4.
If the length of a diagonal of a rhombus is 30 cm and its area is 240 sq cm, find its perimeter.
Answer:
we know that,
Given that area of rhombus = 240 sq cm
And diagonal BD = 30cm
⇒other diagonal, AC = 240 × 2 ÷ 30
AC = 16cm
We know that diagonals of a rhombus bisect each other,
So let E be the midpoint of their point of intersection.
Now, AE = 16/2 = 8cm
And BE = 30/2 = 15cm
Now, ∆ABE is right angle triangle
∴ using Pythagoras theorem,
AE2+ BE2 = AB2
⇒AB = 17cm
We know that perimeter of rhombus = 4 × side of rhombus
= 4 × 17
= 68 cm
Practice Set 15.3
Question 1.In ABCD, l (AB) = 13 cm, l (DC) = 9 cm, l (AD) = 8 cm, find the area of ABCD.
![](data:image/png;base64,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)
Answer:We know that,
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMIAAABVCAYAAAAbgjvKAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAhcSURBVHja7Z1/SFNrGMcPooQiSiiXQhRRIpEkFPES1z8MMS5EFJJcJnJFFtIlHFLIIooowpBElJFEMRahiCJKJKKIXlFkIooo4ZBdRBFFNsQxNoYj9r07r17TXDdNt51t3w88qMfz8r7nOedzfr/vkUAIgcQUEEIRCKEIhFAEQigCIRSBhCnupVE0V+UjLj4fD/SDMA5/gLZUhZtljZhx/rQIS2hQ30BxzSgzTEIG01s1EqQraNvc+fuLaxnvy9IRnXcPI1s/IYJ97j0KJQlSQgnerzHBJDTY6HmMLKkUQ/snDqkgSanQDNl8lvnyfRFW0F5/B1Wv9ajNyUKBqgdu5piEhAhapEuFeGu2weGwYv5TA0qTM1BUZfCe43wfnyJYpwyoVD3Hsvd3l74U8Qm/oXmRSSbKx9KrRYqUCW3POKanB/FGU44bhaVonFj533I+RLCi5/F13NDvFnRNoDwxBmm33mH/gcXj8UCn06Hm3j1oamoYjIBErUYDbV3d3na3tHRwP7/e/RAXvz01WtbhspQBtd733nzBlwjbiwbcLFJD3zeAwcFBDI+Po0Od5j3HuoDnk19PkDY2NhAXG4v4uDhUVFRA9ccfDIbf4251Nc4mJHq3RwnXiksObdT2/hfIkcpw8BZPL7K982fe7YPHhwi9zkMibOKjpgL3Dl1ez0AVIyGmpBnru1NWV1eRcv48GhsbeTwmAcO8uCgkuHwpR5yV7MezMYu3FfJOOwrlhjF8/jyN/tYnUOWnIuXaC4xtHOnUyIP5t9U4JxVBN209OJfDBF2R5K0gBuVv53cOQWtrSEtJQUNDA9cOCQgmk0lIkBAf73sGlwULxn509fdjfH4ZFssaTOP96BuZwQ8eI3xzRPC44XB5vjOrB26Hc+/ukXxESKUIJEBYrVYhQYx3b+92n/49zJ9+skwRSKBwOBw4Ex2NKK8INpvNL3VQBKJ4khJ3Lo6Xl5b8VgdFIIpFvhjOTM8QEszPzfm1LopAFEt+bp6QYHp62u91UQSiSG5cvy4kGBgYCEh9FIEojnJVuZCgu6srYHVSBKIo7qjVQoLXOl1A66UIRDE81NYJCZqamgJeN0UgiqDx1SshwdMnT4JSP0UgQcdgMAgJav66F7Q2UAQSVNrb24UEt0tLg9oOikCCxtDQkJCg5OrVoLeFIpCgMGk0Cgl+zS9QRHsoAgk4CwsLQgK5P8u3fQooAokIFnc71sTHxWJ7e1sx7aIIJGDI3XtlCWLPnBGvVisJikACgt1uF33cZRE2LBbFtY8iEL/jdDqRnJQkJFhdWVFkGykC8TsXMy8ICeSLZKVCEYhfKSosFBJMGicV3U6KQPxG6a1bAe1TQBGI4qiqrBIStLe1hUR7KQI5ddS7ErQ0NYdMmykCOVUeP3okJHjx/HlItZsikFNDHhRaluDB/fsh13aKQE4Fg14vJKiqrAzJ9lMEcmK6OjuFBPLIE6EKRSAnYmx0VDF9CigCCQozMzNCAnkgrlCHIpCfwmw2CwnkcUnDAYpAjo38uSYhQUIiXArqU0ARSMCQh2UX3ymIiobdbgub5aII5Mg4XS6vAFFChBWFvk5NEYhfcTldSD2fsvM69efPYbd8FIEcidycy0KC2dnZsFw+ikB+yLXiYiHBxPh42C4jRSD/S9nt20KCvr6+sF5OikC+S+WffwoJDHpD2C8rRSA+kd8glSXQtbRExPJSBHKIhpcvhQQv6+sjZpkpAjmArmWnT8H92tqIWm6KQPZ49+6dkKA0yEO0UwQSNHp7eoQEN0O4TwFFICfivz4FxUVFEZsDihDhyB/zliXISEuP6DxQhAjGbN4Zoj35bJJivlNAEUhAWV9fFxL8kpQEt9sd8fmgCBGIPES7LIEcW1tbTMhJRUhLS8WbN2+YxRBCHqL9bEJiWPYpCIoIFosF8bFxIqE5WdlHiksXs5CZns4VECTk64C0lFSxzkwmExNyGiJsbm6KhEbvvp571JDL9HR3M/NBoCA/X+R/amqKyThtEeQ9/XGI8ZaRH96QwFJydadPwcjwMJPhDxGyMi8cq1yUt8zH3l5mPoCU3S4T66qzo5PJoAiRSWXFf30K9EwGRYhMtHV1Yh291umYDIoQmbxqaBDr59nTp/umfoHFsgmb3QXX1jpWt8JjcC6KQHzyprVVrJs7avXeNOtEL17V/oXq+la0dw9gwPAM1ZoqFP6Wi5JG5X7tMrAiOFYxpr+PooJc5Bc9QNvIOEa6XuNRrRoP22dgpwghQ2dHh1gvFeXle9O2Rl/g1/h0qJq+GY/IZYTmxkWkPZ2jCDs/PLAbHyPOm8ACTS/WbHbYNpaxMN0O7bUsnEu+jY5/fIuQfzn3WBXGRkfDODHBLdYP9Pf1+ehT8Bma7CRIeS1w+ir0ZQ2Tc3aKsPebsxdXpQK8Mn573mjGs0uxkM6pMeL4OtVqte69r3KnSn3kEM8esrOPVYbx46hQqURu5YdmB5h9iVTv9OwmPs0/mghbnSiUcvF8eOvwXNMab5LjUWr4mkz5jUVtnRYFeXnIvnDxyCF/gDo3J+dYZRg/DvnVlep91wR7zDUgTRaheZVb+4lFcHZ5k3kOxfUzzFio4RqHKj0aUskH5uLEIozd9R4RfkFV1zozFoKsf3yAdCkBxU8m4DrwHxvm+noxtMTbqF9FcPehRLqCxkPXCLOoy0hA8pWnmOc2FbJsTX5Cc005iu4+QuP7jxjuNuBdWw9GJhaxyfTsiuBxYKln50L2yuNP+GdpBaumGYwOt6Ou4ndcvfkERt5YCAuczm24Ra9MDyK7c6YvEbat3kNkK7TaB6hvG8TM3AJMU8Po7jDgg9HCLJEIEYEQikAIkcxm898MRqTHv0QqK/nXZ5+cAAAAAElFTkSuQmCC)
From the fig. it is clear that AB and CD are the 2 parallel sides
Given that AB = 13cm, CD = 9cm and AD = 8cm
Here sum of parallel sides, i.e., AB+CD = 13+9 = 22
Hence,![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 88 sq cm
Question 2.Length of the two parallel sides of a trapezium is 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.
Answer:We know that,
![](data:image/png;base64,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)
Given that length of 2 parallel sides = 8.5cm and 11.5cm
⇒sum of parallel sides = 8.5 + 11.5 = 20
And, distance between them = 4.2cm
![](data:image/png;base64,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)
= 42 sq cm
Question 3.PQRS is an isosceles trapezium l (PQ) = 7 cm. seg PM ⊥ seg SR, l(SM) = 3 cm,
Distance between two parallel sides is 4 cm, find the area of PQRS
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
Given that the trapezium is isosceles. Therefore from the fig. it is clear that SM = NR = 3cm
Also, PQ = MN = 7cm
Now, length of side SR = 3 + 7 + 3 = 13cm
Therefore, the sum of parallel sides of trapezium = 7 + 13 = 20
And the distance between them = 4 cm
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 40 sq cm
In ABCD, l (AB) = 13 cm, l (DC) = 9 cm, l (AD) = 8 cm, find the area of ABCD.
Answer:
We know that,
From the fig. it is clear that AB and CD are the 2 parallel sides
Given that AB = 13cm, CD = 9cm and AD = 8cm
Here sum of parallel sides, i.e., AB+CD = 13+9 = 22
Hence,
= 88 sq cm
Question 2.
Length of the two parallel sides of a trapezium is 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.
Answer:
We know that,
Given that length of 2 parallel sides = 8.5cm and 11.5cm
⇒sum of parallel sides = 8.5 + 11.5 = 20
And, distance between them = 4.2cm
= 42 sq cm
Question 3.
PQRS is an isosceles trapezium l (PQ) = 7 cm. seg PM ⊥ seg SR, l(SM) = 3 cm,
Distance between two parallel sides is 4 cm, find the area of PQRS
Answer:
Given that the trapezium is isosceles. Therefore from the fig. it is clear that SM = NR = 3cm
Also, PQ = MN = 7cm
Now, length of side SR = 3 + 7 + 3 = 13cm
Therefore, the sum of parallel sides of trapezium = 7 + 13 = 20
And the distance between them = 4 cm
= 40 sq cm
Practice Set 15.4
Question 1.Sides of a triangle are cm 45 cm, 39 cm, and 42 cm, find its area.
Answer:To find the area of a triangle whose three sides are given we have the Heron’s formula
![](data:image/png;base64,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)
Where, ∆ is an area of a triangle.
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAApCAMAAACP3r4YAAAAAXNSR0IArs4c6QAAAIFQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjoAOmaQOma2OpC2OpDbZgAAZjoAZjo6ZmY6ZpDbZrbbZrb/kDoAkGY6kLbbkNv/tmYAtmY6tmZmtpA6ttv/tv/btv//25A625Bm27Zm27aQ2/+22////7Zm/9uQ/9u2//+2///bPr6a7AAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABSUlEQVRIS+2W3VLCMBCFswUJqEQUisY/okBT9v0f0ARt3bSTZJgmXCi56nQnX/ac7qSHsf+1FIw2+RSrtHAsV6TXPtytnygrJRw/ZwA3pIEu/H0NxYO3ru8ACiqVSsFyskdZPP2+68CL6zemgGx36povWS188CNUc99mpuy5BzHxHC6v9jHXW7iEZjVavj9ow+jWD2IeZON2wcErm7lwS6K2RODW86AtTucnwiurP+45UU87N62FbNF8zur7wAcFM02v3mlSsGT4QmbNPevZTPlOENM7o3i7BhjT3W79g8P4MTYwl/rFgfM50L+Vcp/dXoNDHnI3eX5bciv6k3zcmuTgXLgJZUrzL6hF2kTXtiftX8xJLQk7P6Iqmg1Sw2UmW3pxLHHjWIZD1ZDjIslkCNqkRBPIci1lU2yVxxg9NXEIZR74zy0dhX8BIzgYqYaqBNYAAAAASUVORK5CYII=)
And a, b, c are the three sides of the triangle
In this question, we have the three sides of the triangle which are 45cm, 39cm, and 42cm
![](data:image/png;base64,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)
= 63m
S - a = 63 - 45 = 18
S - b = 63 - 39 = 24
S - c = 63 - 42 = 21
Hence ![](data:image/png;base64,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)
= 756 sq m
Question 2.Look at the measures shown in the adjacent figure and find the area of PQRS.
![](data:image/png;base64,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)
Answer:In the given fig. ∆ PRS is right angle triangle at S
![](data:image/png;base64,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)
Therefore, using Pythagoras theorem,
PS2 + SR2 = PR2
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 39m
Now,
Area of ∆PRS =
× base × height
=
×PS×SR
=
×36×15
= 270 sq m
Now the area of triangle PQR, using heron’s formula
Here, sides are 56 cm, 25 cm, and 39 cm
Therefore,
![](data:image/png;base64,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)
S = 60
S - a = 60 - 56 = 4
S - b = 60 - 25 = 35
S - c = 60 - 39 = 21
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 420 sq m
Hence, the area of the quadrilateral PQRS = area of ∆PQR + ∆PSR
= 420 + 270
= 690 sq m
Question 3.Some measures are given in the adjacent figure, find the area of ABCD.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK0AAABpCAYAAABI1qPhAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAABV8SURBVHja7V0NKGTv979ptdFGItlEsolEG4lEIpFIJBJpJBKJRDKJJpNI5E8ikUg0jUS+JBJ/kUgk0kokEsm2kVYi+fzueWZfvO0uY17uHffz7e73mtf78pnnOec853wOBwkSRITt7e3/56TLIEEirQQJEmklSJBIa1o4/YLKjFgkFTZhYWEclVml6Jnek0grQci4RUNYIAKiWnFzc4nD+V4EefmhZflSIq0E4WIoKxMZeRO//pa52SNYsSSRVoJwMZiVgvCIOuwf7aK7MBEBfjlYOzfNc5VIayIYykpGSGglNnfXMVgnR05RNVa+SqSVIGAMZmYg/Y55MJwVCo/weom0EoSLjrgohCd0s/3bqz3k+bvCN71HIq0EgeJ8C+VJgfBNKMPU/Cyai1OQWtqKbyZ6uhJpTQTKqmooKsrexLlKpBUxFhcWUFpSAo7j2Gb94YNEWgnCw+7uLuRyOTIzMpCdlcXImpSUhJKiYrY/PDwskVaC8bG+to6W5hakpaYiNSUFIzwxR0dHEBIUjPoGTYSgtroGqckpkKWl4fDwUCKtBMPj9PQUnR2djKRERHlJKQ4ODthzC7xZ4OXhid6e3l+vLyuVo6G+HuPj40iXySTSSjAMrq6uMNDfj6LCQsRGR/OOVQWzW++iq6sLXp6emJ6evvc4kVZRXsH2kxIToerrk0grBqyNdaJhdOvX30sqBYLCE9Axdyzo415ZWWGjI9mp+Xl5bPp/CkTmkODgXyPuQ9KWyzXRg52dHURGRODi4kIiraBxOA5z3hExS+5nf272FsLBLRINLTXwdPBB48KpoA53bm4OTU2NCA8NRUF+Pvr5Efb46Okf1+XlJaKjopCSnPzHz7tLWkJtbS0zKyTSChbfMdYihyNPWreCcf7vC8RZcPAv1kytrTF2MA+oNvpR7u/vo6amhjlUtLW2tDDb9W+gUdPPxwelxSV/fd1D0hISExIemRESaQWCGXU7Rje2URPnAveCMf6RRUbgjF6NFz2a/xkcl4Df+SM3GFakwj8kHopiGSws3FDerkZVSggsOG/0rOsuD5Wm8va2NuRkZyOGt1NbeKJubGw8671EOH8/P/R0d//ztU+Rdm1tDRFhYRJphYbj6U7kF3eBaCYP+ACnrAHgehJ2PGmLJjW5eWOFPjxpY3F38p0tCeQf+4yd6xs0hFuC88jHFf8p6bYcPqUOvuqYbm5vMDQ0hKSEROTl5SI3Jwfr6+sv+gwahUN5+3VtdfVZr3+KtARlZSUqFQqJtEJCV340P1Lawcvd7cfKkCu6x8cQYmGOxGZNyUlHjD3e+VTce998WRRs3HLZ/owiGO5FKrYvD3CAd8bIy4l6c8NGxvKyMkSEh6NKqcToyAh7/KUoLChAcGAgzs7Onv2eP5H29vYWoSEhWF1ZhanAhKIHV8j3NoN1smYqHcwPhZV/CW9HriLknRWyezbvvXo4ywuceQwboTsS7GEWVccez3DgYBfV9exvpRG0tLSUOUnk/ZNDdXN9o9UZXPLePsVlM9LTX/zeP5GWMDszg9iYGIm0QkRbVhhiqqZ+/HWCylRfWNo4IlU5ev+FRzMIsKFR2QJJhQUIe0f7Hsjlp3JXS9oPxOjW9R+/Z2V5mdmmcTGxzATo6elhy6uvvBGIjoxkCwTa4G+kJZBN3dTYKJH2LeH79+/splMYiZZLyQw4PtZN/Hd8bBwe7u6vyhv4F2np+IN4k2PzyxeJtKaMk5MTDPMOVW52Dgsf1fOj4PzcnE6/o7mpGb4+vljnPf3X4F+kJfT19iL5L7FeibQixuTkJDJ5u1ImkyE7Kxtzs3N6+R45bwvTkuu/YrW6Ii2B7O7Ozk6JtKaAGd5Zqa6uZsufhYWF6FercX6un3JWWuGi7ykoKNDZZz6XtBQ3Dg8Lw9ev4q16fNOkpRtYUV7O1v2Tk5LQ2d7ObD99ghYW/HlzoKZatyt0zyUtoYM/z6zMTIm0ojnhrS1m29G0nC5LR3Nz84sD/9qC0gaDg4IwMqL7RO2XkJaQEB+PsbExibRCBU3H3d3dbGUqIS4OJcXFLMRkSNTX1TGT4IuevPeXkpaOg35AF5fiywQzWdLSND86OsrKUGKiopkZMMU7WMYAJcdEhofr1fR4KWl//pDoByyR1shYXl5GHj+iZqRnsFWqsVHjTYHHR0cspZByZPUNbUhLCPDzx8L8vERaQ+ML79xQgkkIP93RyNHW2qqzwL/WP56lJQT4+7OVM0NAW9LSj1xsS7yiJS2RklaoyAsmO7W5uUkwBX29vKPn/ukTJiYmDPad2pKWQD90XUczJNL+AJGSElKIqHH86FBfV/+ohsrYqK6qgp+PL3Z3dgz6va8hLWWikZNoaOfUpEk7ODDAllLJRs2QpbPkZqGBUgApO4tCaVSgaGi8hrSEocFBxPMzlkRaLXFzc81sLVrmpGx/8vz7eoVbXXrEO1zBgUFM7cVYeC1pCST+QfoKEmlfAFotUigUkKXJkJ6WBrVKf0upusLS4hI83NzQ3NRk1OPQBWlpaVcMS7xGJy0FuSkfNTI8gqX90QrVjoHtQW3R3t6Oz97eRov/6pq0hO6uLsRGCzuaYBTSks1HISqKX5IDUM5P/3uvTKI2NEiDgFRehPID0xVpCZQvTDVub560VO9ENVSUQU8lJQqeqIYMCekStLpFiwaXlzpyuL4fY219B7cCIe3e3h6rKxOqafYs0l7tH0HbomrKTS0qKGREJUN/amrKKN61LnCwv89uJolraIcLDCpS4O2ehp/j8+3JKmpK0uBsxsH6cyZ2ro1PWgLFwGk2ESlpr1DgaQu/4ucth97y/5FDVVdbx0YjusFU96/vlD99Y2J8HK7Ozujs6HjFp1yhP9cXHBeGn+JNB0vTWD3ldy4nYc1xqFnSjrW6Ji2B7t/01JT4SHuxPgGZjxMsPGX4m/VGMj80mlIZNzknJJR2cixsDa3nghJL3Fxd2azxWnwdIhHkKGw+fGK3H8npjXj40z4/XMd4/xxW5oZRpazH6tEl9uZ7UVjehM0z/ZKW4uFREZHiI+1AoxJtY2uoSfZHetd92tJSaplcDmdHR9jb2iIzXSOgRqtCpgIqD//s5f2k6Js22O/Lf0Ta24M5xLtSFbAzxvbvv/7bZAUbCGRVHcjytwBn5oeuoR6EWvOvD1b8soP1QVqCvKSEqTeKh7QXqyjOagRNWAfd+XDyy8Xpj6eInHQxw0JCoVarcX2tmdYod5VCV7evciuMD1IcJNGN1NRUrQQ3XkJawtneLEL462kf2XX/ifVW/vUuGCc3YKEOH83CmLzTYV04OLt4nOmZtHRf6TosCGi5/K+k3VFXIamoHvPzi1gZqYMtZwPljGYCo8K/UJ6wT4GKAVV9KtESlioZnD5+ZEovusbZqBzc+wQcPfHcQHEsPNPVD25CF95zvmANQxca8NkxnT28VxsF7tPvkhl9kZZA0qNRkcIxE/5C2mM0lNZgfucct2zQvEVX8md+JKhlz+5ub7PGFN++PW78Q6GsYhEmFxOoJMbWxgZtvPOoc1zsoixA09Qjt2+FPXQwrUZ5Xi7kFeXIza/Awr3LeY3+Ag+NeVCtgiLake2XqNQocdR8TtPSCXtluR5JSyguLERTQ4OwSbvRno/giFzcDfmvtCXzF8oSzUuaZT5vD080/0G1JCggQDQrWz/RwN8UUtnW21TIk7a7vhKVvI3YPrysIe2UCmU5OSht6Mbeo0jgFSb6GlBRUY2ezj60t7agWlmJRn4WUzfUQaGswYCBSEtl7rTESzFcwZIW1xc4P3t4Fa9xxo+sP2O2tKrl5vrp3ivI4ySVvrDQUCwtLoqGsMmJSfDz9WUCHWJEmZ5JSxgYGEBKSoqASftMWFlaYmRkhKUPUloepeeRHpVY6uopfuz7+TOio6IhZt/REKQlUHpol5HFPl5NWjoJsq1odF19ppaqULC5uck0tIqLisTLVgOTltIwqYzoKV9GNKRdW1lFmgCmjJeCSmLsbG1ZabkpwFCkJdAKZ6YRxT50kjBDCi1TAlzu+xNKi4thY2WFeZFVoQqFtATqskNmoWhJ29vTAzl/0cSAxPgEuLu5Gb1aV+yk3draYosOxsgp0QlpqT4qLCwMV9fXECrIMSSHi5xFU4ShSUugfg7GEPvQWT6tUqlkSTJCBGnK2lhZszwJU4UxSEugGj5Dm1k6Iy0dOJ2A0EDhmffm5s9qaySR9uWg7D7KMRYlaQmUcyCk8m75jww0sYXixERaAoUMK3lTQZSkpWx3oTSjiIqIYDbsS9oaSaTVDhe8MxbGj7Zbm5viIy3VFIUGBeNHho1RQGvjn1xcRCM8YQqkJZBCJTXrEx1pCVQHZqx+rFQaYvXhAyrKyt8UYYVAWgLF6w3Rz0HnpCXC0sEbGiSWYWlhweR93iKEQNpz3hSjtk9HehYCfIK0N5hUdaBnaEWrD6RuhVQrRh23DfkLp5DWW3C4hExaAi00adNx8hWkPUNHfiz8wyLhbWUJ75RGrUrHSYPLEDJBVBJDEuyU9CLmbi2mRFoCJVGp+vSnvXaPtKcTSnBcMFia714zy96qWXi5Jj85Q9QsTp+g7/hob29SPV9NhbQ729vMTDjTQX+0f5J2qzWRtZPXqJTu4BNP2tiWO40tzvfQ2VSLetUAatMSkF8ziN3NKRTEhaOw5b7zRWRaWVnRy0GTp2rx/j1bRpQgPNISqLtlvtaiJi8gLfYGmWCER3IVBruK2Eibobprm+4hgtrTh1RifkBT2hxTNYap5lR+3wp9d6pryCGibjK6RkNdPftetUq8hZNvgbQEUmjXRyTpkSP2dbEf+WkyhLub8eRwwtTp3WdPkeRqjtBGGovPEebgjVJ2TPOw4qzRvPY7Pks1RQlx8bi8uNTZwcbFxsLaykqQosoSaR+D+k6QwKAuS/CfJC3DySQCbG2QUD/74IlLpLi8R2QbCVecIdTOG0pmAczypLVD1wPhQ6rIpe6Ar8X383O2ukXKNeR8SRAHaQlVSiXKynR7XPdJ+3UBaeHBcPvoiZzm8Ucv3uqXs6mZs0pCbW0S27fzz0NVfgTbd05rvifrs7i48GoTgUbVDxYWzCOVID7SEmi01eXseJ+0t98wMTyBrT8UpF7sbmB+egqzM0u8k7WEuflZLM4uYHl5BXO87bKw+rjRRFxsnNYxWyqJeWdmJjlcIict2bW6jPLoXZ+2u6sbNTU1L34fFUrS6D0sYHFfIUFeUoqaKuG2VaIZl4T8REFaWtJ7acyW2oI62NkbvK2RmFFZoUCQfyAGBwYfbf1qNWtkbUz8XAja14HYh0GUwLMzs5jQw79AZcneXt7M6bqUHK4XgUZZmpmov9rDzc/HBzYfrIx+jMSBVB1UbhuEtIODgywh+28gKSKmWZWWJjFQC5B5QDHsP8Hb00sQx0nNrV9bRWKwngukuvcnySFS1ybCVouo1aXQ8DdHjPKcqamJEEBV0FTF+xqxD4ORlsox2p9QIiQDnQg7aqQaeom0hgfF7jMzMoRPWqqTpxWtuyDBB0vz96xHg4S3Q1oClfJTDskjXB1ipGcQc0szUHerMTIwjd2TS+OQlpCTnYP1tTXW3cbR3oE5CBJ0A6rWUCqejmfTMio5uEICRYbITLi7xHu1PYzUuGS0Di1j/3AXa7NqBJo7IaNpzXikJdv1s5cXMwcC/PyZ1D3Jo9NIIG3ab3Tjqd8F5XrQQg4J6/3cqLM4dZS0s7ZhajBCOWYSeCET4XfC+DXKQ9wQU3NfQ2FrcBij03v6Ju0l9nbWsbyyia9n5zjc2cDBr+jVLXPIXF1cWKI4dWokhRJpe8VWUsIWYmip1MbaCj7e3vD08NBs7u7s/9RKikrpKYIjlOOmY8nKzERCfDzYWPt1BB85Lww+o1JH96Q9WUGcHQfufQzG5hehapIjNioOdb36ya2VYCJYb8U7LhBTz5AG04t50BWbhHzl8u+xd7kTLpwT6mfFqbItZKgqMxCR3YSZkRaE+sejZWQciqRQRJaOiutEvs/Bm3NBy7qRSNsWnYDc8rl7j/Xn+MLcT0p80S1O0aAoQOf2LXCsxnt+eu3d5x9dUUGW2YIbkZ3NQFEYnALzcXBHNmN7aQGbx9eGIW3OA9Lu95bA0i77Vx8yCbrBzdWPcNDJCBwsQjDws9fTuRiXwS8x1q5AdlIZeoeHoFKrMD735VFxrcFIO1MZg/eewkydMwkcD/OkDUb/gQmcy83fFYr0Qtqe+DQUVd1xvG42EOvghMK+LxK5JNK+Gron7dkGEm3M4RiqwJetbSxMDqAkJw2F1UMSsfSJr6P4+CEUg0cSaV+Oy2NMj6kwML2Ig8MjbK7OYm77VCKVnnGz0gKOc0DD8rlEWgniwPpQMxLC4tE4avqVyhJphYib7zi7uBOwuvmGtS/Gb+8pkVbCk1jubkRxSSV6R5fAglYn04gPcoe9sxsisjvw/a1fICGSlpI8SD1G1wIPYsBSaw4+fZLhd03zBYr8HOCWMQQSR4m0Nkdsy6rozou0vUyStH29vUhKSIC3lxcTZn5zuFqEM8fBMboQ9bWN2GD+1Awc+Mdy+0/ZS1qibGHmUXHvbVsLU5hbWsSkqg3KtnFc3JxhuL4KdR2TglkRy5DJWGtS6i50cPD6mJzRSEspiWNjY0zvyYy/Ma7OLkhJSmJq3tR/dWtzC5tfNk16W19f/yUbtduVwlI28xs7kOPzDpxdAmam22DJP1b3Y3DtTnQEZ5N1b4WoNcaBf58n2rvqmA6bU2wZ1I2F7LOyujWSP6ffvrHvMsp5bmrOU1FRwZoO0nHR/SYd28ODQ60Ug4xG2umpaXywsNQo1vAbiSKnJqcgJjIKIYFBCPD1g7+vr0lvbi6urMSbXY9Sf/46REETsFqEI39NkovlcOKsUL2guWbN/EjLuZfeu45D6T4wd9M0oOuTOcEpT1P1nOlsiYAijaxVY109+y5jnWdQQACrCqYBiiooft5z2nKyssVnHoyNjiInOxt+Pr6sBGN8fPztmQY89tXZTPBvkf21AjdzW1SNzCDF2QaRtRrNglRLDsGKmXvvm8gNhF1grYa0OV4IrNMwPMvVDtE1wipjol5zZCqQ/gGVkqtVaq3alArGpiUl77a2NlbZEB4W9gaF5o5QEuoMe98YyCJDEBhfwSIFJ5NKODl7IDY2FC7uaVi+22Hq2waC2YjlgA51H/xp3yIWKnUTzGnfOhN7AriMJELn5voJXp5eTCH+ta0NBBnyIpv2beIMffVlKK8bxl2ubU91oLi8EZsPCfhtHQ1VVahuqEenqg9d1ZWoVLagT9WLpib+cWU3dgVAWqrC1qXAthSnlSA6MNLSP9ImbWLZ/vvvv//7H1kuk8Jy32loAAAAAElFTkSuQmCC)
Answer:In the given fig. ABD is right angled triangle at A,
Given that AB = 40cm, and AD = 9cm
![](data:image/png;base64,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)
Therefore, the area of triangle ABD
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 180 sqm
Now, the area of triangle, ∆BCD
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Now area of quadrilateral ABCD,
= 180 + 390
= 570 sq m
Sides of a triangle are cm 45 cm, 39 cm, and 42 cm, find its area.
Answer:
To find the area of a triangle whose three sides are given we have the Heron’s formula
Where, ∆ is an area of a triangle.
And a, b, c are the three sides of the triangle
In this question, we have the three sides of the triangle which are 45cm, 39cm, and 42cm
= 63m
S - a = 63 - 45 = 18
S - b = 63 - 39 = 24
S - c = 63 - 42 = 21
Hence
= 756 sq m
Question 2.
Look at the measures shown in the adjacent figure and find the area of PQRS.
Answer:
In the given fig. ∆ PRS is right angle triangle at S
Therefore, using Pythagoras theorem,
PS2 + SR2 = PR2
= 39m
Now,
Area of ∆PRS =× base × height
= ×PS×SR
= ×36×15
= 270 sq m
Now the area of triangle PQR, using heron’s formula
Here, sides are 56 cm, 25 cm, and 39 cm
Therefore,
S = 60
S - a = 60 - 56 = 4
S - b = 60 - 25 = 35
S - c = 60 - 39 = 21
= 420 sq m
Hence, the area of the quadrilateral PQRS = area of ∆PQR + ∆PSR
= 420 + 270
= 690 sq m
Question 3.
Some measures are given in the adjacent figure, find the area of ABCD.
Answer:
In the given fig. ABD is right angled triangle at A,
Given that AB = 40cm, and AD = 9cm
Therefore, the area of triangle ABD
= 180 sqm
Now, the area of triangle, ∆BCD
Now area of quadrilateral ABCD,
= 180 + 390
= 570 sq m
Practice Set 15.5
Question 1.Find the areas of given plots. (All measures are in meters.)
(1) ![](data:image/png;base64,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)
(2)![](data:image/png;base64,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)
Answer:(1)
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h3LL52+cPGxqGxpmYPSvRrjTUZvmNiDdn31k8kO3JbW7HlLfhmvhvFGrBStvxQfPt8wfuuj7O+czEm1ij5cmjcWvI3a1z8rkQI69RqeO2zlumoXHV5EH1d3klqNMSbbVz1vOfXN9KerpJ2fF1RucoiTEQnwsPzO1b2Gg3hbOWI+NVz/nn/nu2g1d6x33kDtrqPcIlszuM+xOYiexBWVldWZq9D0aHcJ/n1+UJmD0P1XsM3st/I7iP91XzXd0Yy25IMESaRDUmnPgBZ/4x0osbf2skQ2TN/a5G9L555rPT3kFgT+ePQWJPhG+nK2q8fWVudtMZZr/cozvbp1vIW2W5miy1tj+JGlkPkdTwmlrf4gvVp7wtjY00WG2v2AO0FnymrXrzP9FPw85cmiOHsQg5tQbLOqK1dnrbAyGhEmfet/EKDHiP8RjMEyha1/FJG7ynii+da+FX2uZd9LL4t/CqLMrooBFwifNU5i3QF9pnslPtgoy0wvq4p8c34BV/otPDbaluymcgXRNvLPiW+Gb/InGWZw3Pmu5FtwS9Yehxrvit/8++MwRfaLfzqkqpoR0DNdyP7lT23+K5kz3a7RFn0U8UazZS08Ct8ve+CVWQPmV9hJ/xsqFgje58i1mSy13x3yliT1ZX5rp5ftuYe9TbsKMqP0ux3Wc8xGtnV6mn5rpVfPZ/1qqYor+HVyu9YfDM5VF+LrlowqfGr7yJ7GEujpa7IrvrwbbVFjRSi4NgiYzaqHMtvTQ5oraY91PTegm+f7DWbH2onfTRa+Z3K5ofYQ2bfU8near9zrFmukSw+tLYLdlYmizVztvxQj5ifmxGYEZgRmBGYEdhIEJgb941EUTObMwIzAjMCMwIzAkMRWIiSQ2pJLlFCkhb8/fRAVK5MSDutIGaVINBKI+M3SkSwNFpkryU1DOW3T/aIBthk+Cp5I5KjT3ZvIDUdio59J0tMsfza58fInslXwySzoSG2FWHS4guWX+sLkr1FJ634CpMp+B1TVw3fmp22+K6meZXg5O3R16W/o1gzxLYiexA2Q31hKtmH8BvZXBZns1gT+XqfPbTY9Vjf7YuNUayRTdop78yv+vBt8aupY01f25PpvdsKp8aBh2pb4VpT8rU9xW6BYbGfcuhqC5Rt3LVNyzuWtqHAgz7iV397Jfq6eF5b4diiYdexVJc3CFveun0Cviy/yK7LB1pk1wUbXonSlZcj2lpm5fDbU+Czhq/WZPvwlR6i7R6SXboXLvDVuhXO6j2yB88vetOWKG2BtPbVss1yDL9KGJTNe38bgy/8D9kWamW3vq6Gsm8ba+QjLfwqKEJn6Fa4lWy7tfzK5qJYw3N9sSbCF9zUWfNxy2+NlP9bP9X7sschvmt1Vdu6F8Ua6m+JNX3bbofwW4s1+o56IntosS0btywu3t8sLivZCjfEFyQfdKKLiVpijeynpd2V7J2/ZRmsPssQAryQZapGWZEwF519bjNYLR31yLfaaivftnd/67xr30sD0IhfFO7rggYAUB6d/ct3vlyAedlliBG/fBfxq/OT/bnAUmAme4ZvC7/Usc0225RrXOMag/FVh8bbCThG+KpinveBCJkp97JPiW/Gr84Rz+w34he7imwL+4h8QfYQ6Yp3oOFxnBLfjF/4EX2r+Bq/PBfZlrLlPY4131XGuH8n41exJvMrym1HVzJF/IK3zoq3MaLmu9SX2YO+szjKdyPbAnfKo10aLb7bx+9UsQY68Bt1IiJ+kQ98vezamYOufF1ZbJzSF2TvPtaoo9MSy2u+gCzRzhHoZ7G8JdaooxvxC1+1WDOvuYfN3KZZeMq3vlZ++MMflp13OKwsXP2am6aQs1QzAjMCMwIzAmVu3DcDIzj7xz8qT3/uS8px3/lZ+cWVW5Z9X/P+8n+f/YRy4J0P2Qykn0WcEZgRmBHY/BCYG/dNXOc/++ll5dFPelY55qJble1udWg3RfbZM08pD/qT/1dOeM9OZe99braJIzCLNyMwIzAjsPkhsMEujonWzLQGF6kh+25MOfW30G+lofozGi3y9dXVJ8eXTvpcOe7Ma5cdDrhnucovL11Mvb+y7LTHjcu5F9ypvPv9R5fnP/+3jXu2pq81Vs/z+tJVJF8fJhm+mXu36rfv+T6dWD5a5euTvZV2nyxD9V6zh6n8bTVkb/HFMbqaSvax/tYi39T4jpF9Q/Lbqt/a82sh1iz84Ac/WIcPFvBhOkqCUDKaZ5x3/DGKPKNEEwsCv//sZz/rEpKizGUSHqJEt6gu0WjhlwSISy65pFt79jJmsiuDPpOxRfbLL7+8g++KK65YdunIGHwj2cXvtRaT5/7z698sV261Y9lyi9+UKxf/dZ///mW52g7XLx/+2JvLLjtvX7ba+rdJdte61rW6hLutt9566UfHSKITu42E39HVUEzg87LLLut0C/4+856/h9aV2Rblma7g9ac//Wnx9q66MtottpXVRR0XX3xxp3M6Uasle2S/0CZrV/ZmaY+RveYLme8ie/TdmFhTiw9eVzbWaHeMjV0tcUtY8b+3FW2jimwIW//Rj3607J31EWuwd3hriTXyad9wteoKO7n00ks7f4vqIq748sy2avhGOqReaE8Za2px1usdnoh1LbFGO2hW2u7CJzaH7hd22223ddpqbYXwDWyWtcfLv/jFL7qMQa8sbbnywkMcg9t1113XoY2AvBNlGUIjyrxv5VeNErQ9Xxm/2j4RZUXyTpQlm/F7/vnndzLvuOOOy2TPdiO04it+t17MVL3TgXco27779eWXv1o8D3zLqy1evbfYyF/1GuVX536rHHCbm5ZrXvNa5ayzz+mMEVnUiaKBv/a1r1222267sv3223f8Xuc61ynbbrttV65z6OkUaIsI//P+z3/+805X3h74G6yo0wdZ3psCX92A5XdPwBP0vb3LfqNz9VttC/nBMPIF5AM7Ok/2k/GLndbsoYVffO3CCy9c5m81fjNf0Ha6aPdE5ru8s9NOOy3z6wzfmuzoMZplqsUaBhM+1kj2zHczfNFdtDMnyhjnWWTcZZddlr2zIWNNLZaDb5TN3cqvstLB3TdYWWyc0hfAnnZkilhT8wVl/lufRj7Kp4o1tdgYxRr8h4HaAkHcfjBcgmDUO8VQsy0dUTkBPgryGBCK9LTVK44ad/gRbyvll3polLzRqfPgywELgKPLH6ItRpIj4lcjNy+79t224gsuNX5vtf9B5UG3OrK84Zi/L1vd5iGLNwVtXS7/0tHlHjc4q7z0/72ubL3YuKPXiy66qOtw0cjTEPBzwQUXdOU//vGPuw4cH/hTw09jRdDeYYcduoafRv+a17xm932EFeXI72WfEl/0pD201k6waXjKbC7CfYwvZPZA/di1p5/xC+/qKKzjoIt/oPMWfsE3kz3jN/MF+FV9EV+R78rffEM6Bl/0GNHI+CXWwHOk90x2XXji5ZNN+4FPzXclu39nrcaaVny1jz7q8FBGPIjsJIqNU/oC/jFVrKn5QhRr1FZNFWu0ldPjmNkv2HZbvf0L2q/qG/folBy9q+mUaJolmmq2hwFY+qpnmTUsFoh+xFfUGcn4FQ3t0/b0s+kXTZvY5zVd1MJvTfaIBnXX8O3jlynB6++2c3nSIb8qX/vB28oFF11WHnbvA8ozn/HKrmHngzEwOt95552XicKohwafxp3pVRp8/Zxxxhnle9/7Xtc5gEeMTfvoafDV8NN7piPAVFHU6Gfr+mPwzWwow1341uxhqC+IX+1J9rbip8StbiM/rNlDC7+Z7DV+FQeijmPEV813Mz2OiTWSJYo12RJKhHvNtvRdJHvN16Pv+mQfiu8YXxgTa2qy98WaKJZndhq1C5kN9bU9EY1W2fvwrU3LR74b2dz6jjVztnzkkZtAGY0ojfJ73vOecvXFNfVXv+4N5aMfPqr81ze/UZ7zvL9dJiG9w6iTRA+YRprvdt9993XeY10LI+Z/Rvj80PD/5Cc/KWeddVb5/ve/3+VX8NGojRE+05Qa7fM3HQJ6mnQAbNDWaHsTUMcswozAjMCMwHpFYINly0dSEsx9j1zPZd+NKafOiM6YusbwG/XqppRdJ7596EMf6hrcJz7xiWWLxQSWK36xeNTwVa7WjbT9CDqjn027gaGm32mUbcOvREkadhp+RvzwwSwCHY5zzjmnnHzyyd20s0b81MUIn8aeWQR++J1Gn9/9qXpZdn9NH5lnTaV31dPCQ6v9yHZb7bfmb611tTxv/dfz0Ir7asjeEofG6GpDxppWex+Lb2YPY2Rv0UeN3zG0W/Xb4uer0Y71tRkLPmNd55j7qTcdCRkJpPVY/x3lPpuRaSho+HO2ER6afBcdfUhd0VROK7/UAU9K6rDGRFl0xKI/m1nv0PDxToSJGi47pYtcwtuf860kl1Z8Pb+8z/T4pz71qfKlL32p3Oc+9yk3vOENO5lFUzxbHUf8Iqf49R0S6SrqqCjJkKQO2/DvtddeHW+szdPoq+EnyZARP3+ffvrp5Tvf+c7SGj/y0bCr4WfEr8aeMuqiY6DcDjDW2p2m88AEmZE/Ou9ZCTDe7mq2pZkOaz+yBx9YxBP1eX/rwzezB2gN4Veyy3+tvjJ+4T/zhWiHS5/vyt/QpaXfii90onsWMn6HxJrMdyN8dS64t/ma7/JdlKk/ZayJYiOyK0GtJdbIPyLboixLtPaNss7Oh7eoriiWT+UL1t+87GNieZ8veHtYjVjj8R0SaxascfO7tijonF8FKhm7LRdBvRPVpa1UAkA0oneiMkvDb5/I+OUd0fU8wYflIeLLy66/a7Jb8NWjivgVP77X1Se7f97KYPliRP7d7363fPKTnyy3vvWty8EHH9x1iuz7NX1FOpTurRFb7KPeNs8qa1/6UFIio27W9+0av7Y4Mdrnh/V5kvrOO++8bmsHI/8zzzxzacSv50nYYVqfBp+Gn86EEv0o11n2dBCYBVAimtbYrF23+ILk944tu/P2YG1SnSpbh7etyH6H+Jvny9bD77ZDZ3XY4rta47SyZ/Zb84Uo1ginbFSi8qH82uftOzV8I9v2/hPJHsUHK/9qxJparBsTa2qyR7FcthDFzEz2WvyNYk2fL2Rx1ttkzd+s3XnfFf0h7YJv33xszNqlyBeoK8JXbXIWx8XDYkds3Zl5NX6+nIr4RHvQYSDK3tWUq96VoMrw5n87slXAjZKuqCvanpLxqyDm6xJtyqNEKc+TBTKSHfoRv5RF/Gr04ulk/GpUlOHr62EfPdPxNHS/93u/tw5vMgbJbuXP8IU+MkZ2wnc1XdlgmgUhypWBze/aY09j7df46dnT8NPY0+hr5K91fs4u0Bq/spRp6MGCTgDyUwdlNPbKZvXb02SnY3whswfpKbKvDN+sLvmbxzfjV3YY0a75bvS87DGyB9lQFNDgYWisqflCtC1IPEX8QjfbylTDN8rmVuPs5RC/UXzA5iLZNXL1McgE5mV95j5+ozjLOy2xRh1wb1sZv9DMzh7gu2irVhYba7GmT/Yo1lifE5hj8c18IfJd+VtLbKzFmgzfzHfBvZvR9RbkRyI20PV9FwWb7J1llvs/jUgfjZXyq/ojOpRNUS4jnVr2Pnyhd9RRR3UJbU94whO6KesM5wjHqWX3/IbMVPQOP0xxaeuTggJy+YYfB6Bjo8Q+1vZp9Bn9k9VPR4Ctfp/5zGe6YEvjTj3awkeSHx0KynSQT7SNU529mv3KUTN5bXmrzVnbiuxhqL5tPRG/rXxlz9v4sVLf7ZM9s9+xsaYF35qvT+FXNXz7sB/q62PxreG+2rYl2aeINWPanhab68O3xU4ldy3WzNnyQyLwRvLMCSecUL7yla906+w3vvGNNxKux7HJ/mU7+0JDzBo8P3vuuec6lTJap6FnZE8egLby0RE4++yzu+18WmukHhp+Rvc8qy19OsCHsmgkpkbfj57GSTe/takjkF09vKnLPcu3/hAIG/eoF9TXM8q+73vPitry7FiI7DrU2Dr0Xh+/fd+30O+ri6MOP/rRj5bb3OY25a53vWs6VVYbeU7JT0td2bN9MkfvKenJTonxOyfsMbq//vWvv6zhp5HXPn4d4EMZWf2nnnrq0sl9BGQafkb2dCLYIqjsfv7mO3jODiJqafj7ZO/7fgj+69MXhvAz9Jn1EWumwNfHCfJISBilI8kPdrTPPvsMEntKfgYRDB7aHNqFsdis1nt9eq99v8Aai/1o/dO/pOQo/zzvZtmilFOPXVfib2Ux87+d1lAme0YjCo6i4b/L+BVtAr3/iO5Q2eHdJo15HHVOs3VyyexlH4svDQlr0O973/u6Bud+97tfR05ZxaKtZBB4Fl8We+hn+EpOK1+frpSx7mUX/p52hKPoRpnpffx6WRjpa/eG5YmROqN0Gm4/1c80P1P5/LCdT6f2MfLn1D6282nngbL6GdkruU9H9jLVT1185z/wKazs9GofvmAS2bzWFL0tRjrsw5c6Il8Qb0PtIfOTVt/tizUe21qsGeK7Eb7iweObxQHRoYP57ne/u7zwhS8s++67b+eD2BU7SF71qld1y0E2BvgY2Mev51Wy815rrPG+G8ks+bO4pToyO/WxUTQ2dKzJ2p7MFyJ+1YZmdWX4Zr7bGhsVYxe0XULMK5BCKArA9nkpWAq0gYDf9awNWgpmMOC3KQgojb6sA4kvn+2b8av6bV3wZI2O+iWj5Tcq5z2/lUcNpedXdcnBbANr6VtZFDAz2aOMUOjTaH3wgx/sppof97jHLZ0EZ/lVB0v05FiWvgJthC90bKYo8kT41uxBeldHUHSEVQ1fn3SkQODxtTr0ma2ytch+tZXIjmT5nR+Crj+5j44Ta/rwzGhM+/gZ7esAn1NOOWWpM6Gzuul8qcGnA8DfJPrxo/P6Javo2+AsW5XN24Bubc76rhKeFCCsfsGxz3cjX1BylY0Pme9KR9AZGmtqtoUcOpPedtJs3eLLyh7FGsoifxMNj698N/IFveM7GLJ3ytny+bCHPay89KUv7R7D7u5yl7uUD3zgA+Uxj3nMOtuDvZ1msUY6nCrWiF8fy9VgDYmNskX0CL42blo7te1C5ruKNRm+kf2iH9mQ1fuQWJPFctlU1F5ksaYllkftWI3fzHet7At+7UeNSJQRml1kARPRGhLl1ON7lVqzjC4K4Z3o7GjKo+zzGr8YlecL5VAOjShTNcqKRAaMK5puhX62fhbxSxk8RBdvtOILXfazf+Mb3ygPeMADyk1ucpMuaCBbxC+yCd/oEJtadr9/Xjhmeq9lyXrZx+Cb2YMCScQvdFr4VQPrA7b26kfZsFq7p9Olk/to/Fk2YaSmw3y0t14jfuULaB8/f5PNz9/o0wbb2vW88jnLc3fO9KLskf3WfDfyBcqiLF3sIfNd+VtLrIl8VzJl8SHiF5kJnC2+ixyR/SqOeb2rEYtsC9zFL/ok74OpeeqgQ24vteH9KX1hTKwB48i+NEDwMRMaEb7SBTJb25UOW2NNdkFXpivZ+1SxJvMF7D6KA1bv1hdrthX5boYvdWa+K9nnbHmDvO1JWoW0lqt3a0c2voHwf2c0bF3eSZgW/vjHP15udatblTvd6U5LVdbqsj3vlcg4ht8MgynxrdXVR9/jm+lPo9SoA8F3BEeCCqNxrfHf6EY36v4m0DPa9wf4sLRCch8jfjoG1KPkPt7TqX3a1sf/TPPbk/uiIJPp29qVGubVsoeazUU6GWNbfTY/hb/V7KHm6/oOXX3sYx/rtnEqifOv/uqvyr3uda9e3x2CSV+M0fdD6op8IZKxz99W27ZEP+pAtNjWEEyG2lCfLWSYjOE3qkv1zNnyQz1ijT3HtDDT8SR0MWpvSdZaY6JsUuxkwUanb2mN3x/ZCwiMgFibR7eM9u0BPiT3qUHQrAnT+dTDKJ/G3nYC1JGgXjoU2YzFJgX+GheGTt0RRxxRXvayl5XPf/7z5c///M+7jvn8mRFYDQTmxn01UF3lOgnuHFTDGh7nxmf72VeZjbn6RgSiHr3N7rfb+bIDfHQ2vzoAJPkpq59pf6aIddUldkGjz4iRumlctM6v6dJoihuxho6EGiHYrB9nqQw9MMV70EEHlac+9anlUY96VDnxxBOX3Tu+WQM1Cz8JAl3jboOOfveBSCOS1qkZP92hZJ+IzhAaEV9eBv0dTbVYukNlzPhq5VeyS3Me99oUl51+4SCWL3/5y9103t57773s4J2ILxusW7CfWvYpaPfpN7O5yE766mq1rUiHY2yeRpp1Rq232wN8rnvd667T+DLip+FmDZfpfR3gw9/czkcZ39OIaI0/O8CH2QA6A9mJXJEd1TD0tr45xRovu51do1P3B3/wB+UjH/lIedGLXtSN5q2dDI1NGfa1JabWuNXnI2sxzlq/HRJn1wcmfThOFWtUz4ISe9RbV0KQV1iURSnj1TvWoPidcmVB61mCBoatTFW7XUABLZpi1uULPoO1hV94UtawMqSlePGrbENbrvvKo8bZbzmzmCir2MquLFhdrKDvavjqYh5GW1yqwn72W9ziFuXAAw/skrR8NmrEL42Dsn11mYPFPro4RphEnRElEUUjvMge4FE6Fy3ZnDKpV4qv+PUdCJVDJ7vEg3e8bQmnzBd81jTPRbIra1v7m+1OAenKO7Z8IcIXvpSQxPf8sGda2/n4TrsvoEkGP1v3aLjtPn4afk318zzvYWM0/Jri13n9/K0DfGxGPzLbzGSPr3xOR8B6f7MBb4gvRBfHZL4L7rVY47Pure9G9mAvHbINRs13sTnF2Ac+8IEdP/ytbZmvec1rurMUtKWS57VzxTdKLZdUKc5Sh481fb4rmxIetdgY+S7P24tjfHyaOtZ4XUl2/W/jnOL/0FjDc7pkzNbTF2t4VnHbDsOzdky6jWJNZA/UqfptjFCsAf+FLIPWJ+dAIMsMh6Eow5JyTUNZQ1G2vD/pS0EvWh+kLnsimQUM4YbyqwZXmam2HmhgENG5+lH2uZxvKL/wSd2SxdLpw5egy4iM6XiSqx70oAd1IyxN9Vk5tO3M6hbaypaHX499hq+cIMru57tMdm3/snpHXujynQ1c8Atv0e4J3h+KrzoL1O3rUiczsnc9H3Uqa7ZV49d3dJXBGu1SiPjFTlvwtbIr2CGPOgHQ9wf4EGjI3icQaB+/Gn86BFzRazvodCDoIDC1z/ZAbefjb77LdiOAk9b9/Yi0xXeRUcsO0cjU+67qRr7I3lvxlS1HtpXFRpu1vccee3RVKIDDry5QEi6R79qO31Bf6Is1mezaCeF9IYuNmuHxmCjewK+vSx3JaLfSFL4g2TXbZeOsOk+tsSZqF2qxMfOFMbEm2o0gG/LtrpV9nVvhFCB8z61WPuYdW78PghHtldDwQUB/t8ioZ31dli/buPbxaxs8+3smuzoENOwEX62z6yrCSMasLvFm/x/CbwuNDK+V6L0V3yn5Xe26vC6m9rdsjzABjpF51PAzjU/DbvfxY3s0+iT6nXbaad02LnUKabxp4NnHbzP7afipw47YpUsCkzoxvrM+dRyoYbyathXFiMg/fFzaULGmz3eH+sLYODu1LwyNcyuJ5bU2psW2WtqkITFiTqjz6K/Bv+mBHn/88d06Oze9sa1q/swIrBQBGlwdaOQDFA0/o3R2Y9gRP++wVY+Gn+18/Oisfhr+c889t9vOZ6deGbnR6POjffx0AOgQaAnAyuJHdCuVc35/RmBzRGBu3DcCrXM/+7/9279197Pf+c533gg4nlnc2BHQOrpfotIyEMtEbMOzH2X+kwdis/k5wIfGnoaf9WU6B9RP3aqHToQafhp8Ohb87Q9ByQ7w2djxnvmfEZgagWWNe990WMTAmHda6hkyZZJNf0Tl0dTPlDRqdWUKzDBk3/PRRx/dTXUyao+WMYbKrudap/ym0lWr7H1LC5kcGb9T0e+z94ivms1NhW+NrxqNFnugHr9urjIafkbjNPr8aMR/wxvesFtbZkROw68DfBjpM+rnb6b6lVim/Aim+UniU8PP/zT6XNhDObS0npudElnTRet3rc+P9bdWfdT8ZH3YVs0PW2QZg+9Usm9qsQa9r5MtT4GyUaMEtehcbt7xZ3PLoJQha6fZcEbKlblsz7pWhnBkkNDQFKL9ProFjO+VweoDkbKIWS/0oxL4gj9frvOJ/bnc1B1lXwsTz69kF862Ps+vMrE5qIbAx7nxBDtGPRbfofzqWEt41lqppd+Hr80Uhb4ybqNAr0xgm0ijzGVhYGlPhS98yR48v+AGHYufcIz4lY4ifDPbkj34dWQCh2j7ZEIdbrNSfDPfhbZktztj1CBr+twH1lZfqPku9sYPCaCMxGmgr3e963W6AjNow5tt+DnDgUafdf4zzzyzu6RHI34l6NGBoMHnR9n92scPLSVNKf6AMXxCk/89Hn32kNlWZg/UJ717/bbiOybWCF+7O6UWG/lOGPskuIxfZZ/72KhsefTu61ofsUbti5d9bKyJEuoye5B8rbEGP4jaXdmtbff6Yg1yL8b832Zv86FyOZvOJVaFUpBv+GQslPtRpabe/BYjgFKGtP1OTpfR8OcRt/LL8wq8yp61siuT3mPCewDsMRnDr+oWBhm+PPfpT3+6W2c//PDDu5ukbGa8ZJHRWTkifsFZWGvXgcVe8nldqRHwsitI1nTl7UG8WtnVY54K34hfNa7KHvcdEtH2/Pb5QmYPUUa8OgnetjJ8lQ1b8zevq4hfZKIO0Y86u9531Xnze92Fj7KdbV2ZL0i/0rme03o/32t9n86rLunR6F2dFpLyaPyZ2mfKn0afTH874idwazsfdTGtz4ieUT67AegM0AmgjFF/tPsG2SRfZA/wMzQ28r5s3r7T6ruyEcVTG+QVf6PYqC1ofbHG1qcdLVEsz2KNGiWfNCnb81vhWmNNny8gu+dX7YuXvTWWW13ZQaroKaHUyq6dTy2xMYs18h9vc/LRqN2V7As+eUUP+/IhwdwbHXUpsNjvbOPueyPR1i7bgfC9wFZ+1cjxXiS7D2jiT47qZaw5XCS7RuQRvrYuLpjg3Pjb3va25ZBDDunIrpRfGUoku3CPtsBgeJ52n8NFDYawjxKmpsJXfEVYyeij4Bjx22dbkRyZPahxzXCMyvuCuR9tZ/zKDiN+FWgju458QY1zxG/mu5ns4tfbnNb7RYPGnx9G6Lvttts6I0FGT4yQGOnT6CvBz+7np2PA+9SnZQNG+DT22tLH7zrAh8Y/wkoBtiU2XnOr3+YVRLFxQ8Ya9Bg1PorZkW1F/NrOm4/l6kxHdUWxMfPdvkFUFmta+LWN5VBd9cWaoQNh6GW+C4ZZbMx8d6lx94L4nr2+lyDLrHSxQN95JdbeqdXT8l0rv3o+ei/jt7VcPe2Mt0w+lROkdD8758ar5zsU3z7c15fsnt9I7hpWQ2wust9Mvj76Eb6ttpj5guRs4bfPtlv4rcmhUYMPzlPYiY0fU8QapjztLXnay8xI3eNB8GNKn7V9punpALDGT8PPiP/73//+UlY/wVUH+DDSp9Fn5E+HgoZf+/iz2+U87ROPP6Yc+f6PldPPuaDcdf99ypOe+ISyzbbbL0HQGlPG+EKfvU8Ry2tyyOZXGreGyD7HmuXanLPlMw/YAOVqxHVu/B//8R9304isW2VngG8ANmeSMwJrDgHl99jREv5Ew8xIfJdddlmHZ0b8TOtrS5+289Hw0wngWlbdzkc9NPw08DT2JPRpLz/+ScfBLsX863vfVR71t+8vP7/BvcpVr7ld+dj7v1KO+fyflve/5RXl2tvtsOawmxnaNBFY1rhjyFEviHKfNCFIau9E01t2/dfCmk2b8kw2hdXKb22ao0YjUn82XVLjV9Pyvj7RPuGEE8pXv/rVdfazR9NOfZhk/Oq9jH5UHo3g+nTlp1qpN9N7ZCM8PwZfdZAiOSKehEf0Xattid/If2qyT4Vvjd+Ipxq/rf5Ws4dMj634SldZfIrsCGx9Mhv10BjTSEd10ZnmHabz6QBoil8j/zPOOKNLxtMavw7w2XXXXcuWV/6qPPPl7yvl1k8pO293ncXM3l+WK6+3T/nk599ZXv+GN5e/eOYzO9Pc0LGmFsszX4jwrfkb2E5R18YYa7KZBPBqjTVRfBgSaxYwXL3MCzpv2Sf+KCvSZ/tiqPR+o+MHqUuKEQ3+Zl2MXjGOY42MZ3gnmvqCRpQ4EfELT8qKtz1q5KMc52WqzsuYya4My0h2HW1pGxPoaCRhFSnZFVys7NTNNCGj9r322qvst99+XVABkxq+0PJyaFeD1gjlZApayK7TwcQ3cnjD4z1fl56v6ao719glWCI7yw06D1myQ2OMbdmdGNZ+I36hAV2CtbV3ydJiW2P4RXa2NMpX+vjlual8AX7RO8lomeyR77bgW+NX9BkZY3N9sSbzXaurjF+t7Q+JNdTnfVcBWcd9MiJntM6xsYobvKPjermQRyN95Pv+908pX//yF8qZv96tXGf7ncqVP7+YLmrZ4srLypa737oc+8WPlydccvGivf+mGmejhMUszkqOyN+Is1GsAR91THwneApfUNzA7ugQ2QGNjY22Y9AXazJ+s1iDv+kugKGxpi+WD+FX8uFv2IT/RPxO2e7aWLOAAuwHEKOethrLqBesbQ++t0JdfsSiQMs72pJlGww1pBEoqm8l/Mqw6Vz4nmgmOzJHIwDVlWESNZbanmJlByMa3A984APdud2HHXbY0nZBOS80InwjXYlf5NEHXtTwabuL7RFGjTvvRnUpmNd0FWVxauuI17sylD2OwjcaZbTyy/Pw6+19DL6ZL1h7sLpS4NJ2Imu/Y/FtsQeNMr3sGb/wF/nuWHugLm2XXYnvtupKsUZ6t/be57vaEix+1anjfzopJPaxnU9Y/bZDcNXynzffp/z7C44uv/rvxetdFxt2Pltsubgj6ZdXlB13u0a58tfY4G9H/VmcVUKhxarVF9Rg8F7kb+pQR3G2xbYy36UObQP0cavVd/t0NWWsiWJ5qy8o1kRb4aLGXTZUs4csNnpdKdZ0l93IQKVkPRxNHUQ9Gzmc3/4jhqOMQbalMIri6kr/iUapNRpj+eW+7KixjKYK1bBHsrRiotG0tvxI/uOOO65r0B/zmMcsO142o6F99F6OjF/d6oXsvmOT0dAuiWhKrlV2+GQKk3VLH7iyTOtWGhm/Ctbe3lfDtiJfQD7WacnItp8p8c18geBOAlmL7JltKZhHvlDzXXw9unBFs0pRIxPhmNHI+CXWMIqKYk2rbSnARr4AfTC5++H3L/d878fK+79xTNn+FvcoC1cpizNWl5bf/Nf7yu777VMWrr51ud72O3adZi0RrpYvZLGmZvOt+GZxXh1gf1lRjfaUvgAd8iSmiDU1XyDWRrEU+i3+VmvHZFtDfYS6kHvZmntGRD29LHBF68KqywuvAOGZlUEsa/EXC+QMvq5Wfm1P0wcoOW9UHjU+akQzTKK1IhmwlZH72b/whS+U+973vuG58aLtG/Ex/IrnCMeIX40sIx3yXSZ7tLaU6V225XEfg2/GL+XZOiPfRfy22pbtVHldZbY9Jb41fiPZa/zWbCvaolfz3ZrsUePeF2vge6gvZDbXZ1uZPeC3ke/8bwC+Svnnlz6v/OaZf1c+9aVTyiVbblN2v9r55dGPuV3ZcuFq5VWvfGU54ogjyu/+7u+GJ/1N6QtRrIH/Pnx5zw/uWmON/C2ra2OLNeAWtQtR474asSaLjVG7K3+bs+WjnsR6LOPcbc6Nv+UtbzmfG78ecZ9JzQisFgI777Z7+dcj/6W84dWvKp9enJF7yUteUn5n75sWEvHe//73lze84Q3l0EMPLXe/+93D/fSrxddc7+aFwNy4b0B9k2CGszOFwrnx0Sh4A7I3k54RmBEYjcBVyu/ud8ty5nkXlV2uv2dXC8thT3rSk8pHPvKR8rGPfaycddZZ5YEPfGCXZzN/ZgSmRmCBaQWbwcqQnimvqFxlNjEFhjT15ZOIeE7TMpaGrcfWpWmkaAoxoxHxK55EX6DBn6XRIrve80k50bSf8BNvlj7va8pL+9n/6I/+qHNw1gaj/ex9+EZyWH7hRzxZbCJZvA6lC0vD6jzTVYR9pHfpZCy+PhPX1jPE5qws1rnEV4svSOZM795/rJ204utxr/Gb+VuN39Y4kPmuxc/b6Zg4IJ4jO410NUR2H1S97fK99Z9IV1632OXPfvbz8ovFPBodvMMzrAM/5CEP6RLyaORf/epXd9P0N77xjTs2Ivul3Ooq4neov6muSEZLx/uCnu+LNRYrqyvvi1G7kMleaxfEj/WHPptrjTWWVytHX6yptWMtsSbit6/dhc8Fe/GJMizlODb4s46gDE9vXNpC5h1O22nEHO+xXqXseurTWo6Y1fa5iAZl9nnxq2f7+OV5rTdJbqss8eUNmHJvjHKEiF/oqH7LrzLWacBJoPviF79Y7ne/+3Vb32jYM9mVDBbhq8bNy+H5ZVZAepBeLG+6YMGuJ0qOCF/qqulKHQq9K9m1lUiGz3PYgTJSrQ75vYYJdXh7EO42GEsOnrX2Lt6UxW/XGft8QTkgnt8oI556eT6SXbsnLL9DfcHzazO8xRfPSLeyY6vPmu+ynueDpuqI+I1kV6dDNmftVFuV5EviqxZrMl+IfBfZs1jTZ1t8H+E7NNaQPKh8Cni2sY56b3/723en4H30ox8tr3/967speo6Zlq16fOEnwhd+ZNOWX7s7JouzNp5YX/C+K56iWBP5rnwH28n0nvmu7RyIJ8WaiF/ZkP0O2eVvXnbFfzsoGBLLx8aarB0b4rtq76LYKL17XdlYs+CvStTDfopYYGUnpWX3LBMgfAIKhq9MVUtHo4WMRnTRQyu/0IAnaEQZv/Dqy2UsHiscDvoRv3wX8cu+2W9/+9vlk5/8ZLnNbW7Trb1RB3WjmFZ8W/jVTgBdmuF1HPErJ/CZzuo8ZPzyvE/KoX6dE26NXjK04Mv7rfyi1+xq0IjfPtvK+I18AdqR7FPim/Grs9K9DmW/me9GtgW/6N7LXvNd6uH5KWINPNvjZyM7smXITHDUMbW2cc58l2cye9B3lkYWG5XshNyePqN5RutM1dPAf+ITnyjnnHNO19lnV4X/1GJN5gvKlve01THN4pZikechsgdkBF+vWyXM2Wt5LfatvluLjZGu5G9edjX2rbEm8wX0EvmV2phliqzYFvYYtbsRvuok12LNvOYeob+KZWwB/Pd///fuWEx/P/sqkp2rnhGYEVhjCBC0OSiHaXoaeTtNv88++6wxbmd2NjYE5sZ9PWqM3tZ//Md/dFPw7GfnXOr5MyMwIzAjcMc73rHbF02C7Rvf+MZy73vfu9z1rncNjyqd0ZoRGILA3LgPQWmiZzg3/ktf+lK5//3vH+5nn4jMXM2MwIzARojADW5wg8JlUUcffXQ3Vc/WOW6FJNk2Wm/eCEWcWV6PCEzWuG+OxtciM/vZuZ+dwyu4o73100Krte4xz68PftYHjTGyZ++sT36npDVlXVPiuZo4r1WZOcHw4Q9/eNf5//CHP1xe85rXlAc96EHd+nx0Mt76wLtGow/Hvu83NP+iv1b57OOr9v0CiR0+g5UXbIY7ACiDNVKG6rCE+F1nWlujVPYu603K4lWdtaxInU2dZRl6flWX5ReelC3Jub9KOOEZ8avkuSj7nOei7OgME2iRUMIRmO9973u7aXiyYkkmzGRvxRc8vBw2Q1T8kuCh7F1/eQs0M3yVzW13EPB8hK94j+xBmcvga2UH94hfYW0zqi02qiPKcBevVoeyRWvvll8lCFpnV2Z25As6DW6IPUhG6vP+NhbfofxCG7rw62VXBraStTy+yri2mNiMeyt75rvyOWj7bYsZvjXbirKjM9+txRrJnvlbhq/sMpLd1oVPYtc8h+zK2h8Sa5DnDne4Q9lxxx3LUUcd1R16c7e73a0ceOCBXQPvfSLyXfmb5LS7HvrwjXYKSH9DYg38S16OPoZn74vYo9+ZM9YXvP0iu9oXH2cV/4fGcmtb1Ol9oRZrorPlW9uxjF/FbC+7jTULXll62JZTEYDxYnQzGsbC875xp1xZhla5yqC3t5mpwVCWuW+URcMH84xfGbPNPoQ/3leD6GXP+BVvHhMp1mc4qnOkrFMS6Lg96slPfnJ3YA1r7pHs0IkOsqnhGzXuklP88rfK+J/yiD7lHl85gZc9wlc6y/jFFiJ78Pyqnj58h/Irg4e2l8PqdohtqS7h6Bv3zH4lt7e5leA7lF907e3ENlKR7yJHpKvMF9QBinwh87cW35VNEOymiDWZbfXZg3zUN+6U29goW7f+Jn0pPmS+oONL2SJLzGCKnkNvmKZnTzwxxHY4s9ioRrUl1ghfb1vq7Hj7jXxX7YD07ht3aMCT5UvvyH8ifFtio7D1stv4P9R3a+2C51edWcUa33lsbccyfq2d+nZ3SXa/XUmNuC9XZVG5tj1YIuoQQGgoDRlKNP0kIf13NX7FlwcYOhlfomPfEU0vh3q4Eb9y7hNPPLF85Stf6dbO9txzz+4Cj4iGxcvzOwZf3/vWiEF0Ip1EeFGW1eV73+Jb8mU0ovKIRg3fmj1EdQ2xk6F2im79yE6NpfjyvmA7lla/Y/Ft8atMdotv5LuRnQojj1XNd2uy67vM5lt8IeM3otFnWxm+8p+IrwgTPa+YM8RHrP0yTf/Qhz60sB7PoVevfe1rl86m93VFsTHyhSGxJvKFCBM13JnvZDhm5VPFmszm1KlrieW1eFaLNVk71uK7Nq5Ym6v5rmSfbM3dG/vm/jej9lNOOaXrdd/61rcud7nLXTpIbG9xc8doln9GYEZgGAJk03PoDQ080/T3vOc9lw69GVbD/NTmhsDcuK+Sxi+66KLyr//6r12mK6N2PzJaJbJztTMCMwKbIAIMCkiyI5ue/fD8nH766d3Z9JyZYdfUN0HxZ5FGILCscdf6rK8rK+e51neyhm5qGhEdlWXfTVEOJjgfDTznxtv97NQfjd7Xh+zSaauMkV2N4Ve2MtS2xtCo2VbmH2Pst4ZhCw/ryxdqOmy1h5bnx9pcKy41HU5lv608TSk7tEnQ4tAbTdMTY8im56ro/fbbb5mYGzLWjI2zU+lqjjVblAVlKApUm8FqgdYRi5GBK/vaf0e5X5dl/ULZu2Qf+izO7PxkZRn6dYxWfqGnzGF/zCw0lIxgZffnE+s7GmnesXKTVMO58exn17nxym5FduHtZa+dp13Ddyi/PlsensFCRyfqOEZlZ6qc90gA9B0S3rVnmVu8lJVt17X4HZl1vrqtrwVfa6dKdLG0bcatDa6yxSj7PuKXd2u2Fd2zIHvwgQWsda6997eIX95vxTfjF9ryN08745e6Ml/wdQhj8evXMvle/mYTq8bga9+JYo33Bcmu889trIl8V7LU7IFnvC9EsdH7m/f3MbFGsRG5NE3/gQ98oLz5zW8u97rXvbqlP/xWz42JNTZWeZ+OYk22i0rZ8sqy93UN9d0xvoANyt887mNiTZ8veHtYjVjjOz1DYs2CdRL1fvlfiT4KVEogsuUiqIQdX5dN5BEAtofte9uWvhemRoNnPV+SwfMEH6LjZazxq6QKr0i9Aw84NOvs3M9+i1vconM2cLO92Oh3YZyNPsbga/n1vWiL8/e+971ulgGDJBv1kY98ZHdSFuffky+wxx57dMsKQ/Dts4dIv1YXNduy9mDrGWq/NhEs02FUl9e7OkXeR/pktzrWs1bfU+Lr7XqsX0VxgLoVCyyOGQ2r3yg+ZL6b+UJmQzXfzXizvmvta2ysiezXxiHrhyuNNTRSTNPrCll89bTTTuuOtN5hhx26xm1MrGnFN2oXvH+2xNnIr6JY3udvUYxYaazJ/CqTz9r7UH6zONDS7krOxfZo3Zl5NX6+XMYYXbZiR4DWSSjXNhxbrksDlFGu75TJWNvy4EcGGb/UjZC+LmUq0sP1swDqTfpy6tH2jagHJRqcG8++VJyLBlGjX8uzbtrysmf8qufqLydQua9HjUjEr3Qo2Xn37W9/e/nmN7/ZjQTYkwp/P/rRj8pTn/rULhGQCy3OPPPM8vSnP30d0RXYM11Bwxu3ev7ehobi623Ib4WzduRpyOZq9uv5HeMLvBPpCtm1BTGyocgPea4F34xf4RTJnvGb+YLsLuKXuiJ+sbtI9lbfhTZ23eIL0NXNZN6vM34VzyJ7UCfe6lC+6zERPRvv9N5KY43quda1rrU0Tc92OW6YY7vc3nvv3V3mwgi6JdYIXy97xi+6paMR2RbfRXEAPFp8d0yskc152cfEGhsvh/iuZJvCd+E/wzfz3SV/i5j1Zfythrf2XeQM0fpyljE+hMZK+RXtjK+VlHNs5E9+8pOuN80BFNFWsZXI3oJvRke61P/cRPWUpzylOwHrd37ndzp4X/SiF5WDDjqo/N3f/V3hZL0nPOEJ5YlPfGJhW47viLXYg6Vt38v0PtYeWmzO2nYWzCObq9mJGq0htroS2Vv4rekp4reVr5quanpfy7GmBd8h/rYSm6/hS5zBX9kux9n0NPCHH354uelNbxp2hIb41UpjjY2zU9TVFzejUfJKYvlKdRXZ9fqONXO2fKaFxnLOjed+dqbFbnjDG3bT3FFvtrHaVX380ksvLSeddFJ3gh49fA7HePWrX10uuOCCsv/++3e0d9111y5AnH322d298/NnRmBGYG0hwKiaHxp3TdOz1Pb1r3+9m0GMrpBdWxLM3KwGAnPjvkJUOV72hz/8Ybc+zf3sBx98cFdjrSe/QpLrvB71WIfWT6P9/Oc/v9szS0Y/I/QjjzyybL311ksdE+rX1NDQeufnZgRmBNYvAoo3yqYnV4Ylwre97W3dtD0zcyv9rCTWrJT2/H47Agv2GEOtRyig2wZKWdT2eZHTd1b5ti5+V138rjp8Xcpkpz7/ocyvtw/h19al50XHJ0Lo2ahcR0JaTGj0zj///O7cePaakh2vKa+M30x2YZjJbhNkwEay6HeLb6QrK5NokAV/wAEHLG3V40Ib1tdZq7vkkks6FbDewxYc1vasvvp0BQ2LlfSuUUYfv+ogSZYWe6DuyK49bW+/nl9hbrO8hXtkD7yf+YJoR3x5fuFrDL41fiMaNX5lI5FPRzhm/Mr3PV6tvjsk1vCM990I9yG2FdmvMPFxK/JdJR5CK5M94jeLs1ZXfb4AtpxNv80223RnbbzpTW8qhx12WDfwwJZrsUZ6jHxhaKyxMV6YeX/PYvlUvqB6Ml358gxfH2eFvcprsaYWy4fEGtlOa6wRTwt2qwAMa4uPbZAtkWgrDO/4zFPVpcZOwnjjsgAIYGj4j/hCKRbgjF+e09arSCG6BMAanS56kPPLmLV9wsou5bLOzjT24x73uO7AGhpCG7gsv5Ld4ineIn71XYavlN7HL/wokQ95JTt8P+pRjyovfOELu+l3ZHnmM5/ZLSn8/d//fXdRBWVM1++0007de5KnlV9kV+CIbA5Zoq1aXofSiRqyyB6Q0Qd50Wy1X7DzndPIHqQDvvOJWwr0fkuW9RGfDduHL+/aAJn5Ls/ITvy2IHXear4b2Rb4ehylW++7CvTSo/c3j6/t2ERxQHbiOx2R72rGKep4DIk1Gb6R7NKt5GNWTA2I7MV2mGqxhveG+oJ0KJwVM5B9l1126fyb46+5YY4ZRq6bJuGXOJXF2cwe5Gteh9534UUXDOl/37hLzz6We9/ts4coNirOetxr7ZjiYmS/NV31xZqoHcvwjXxBHbGhcUv+3iXh+cxTEfCZflKg9kN7pim3DqfvdUmMfV6Zs8qatA0cvzPVHX2UdWq/q/GLoL4uDBTlw2+0Jh7t5ZSxeNlZZ//GN77RnRJ1k5vcpGNL9FB6xK8uXvCyg2/Er2TN8G3hV1m9koPrZ1/wghd0B2HAL3Iccsgh3e8EhL/8y7/scCLBztsJONb45XnfOwdv5PZ1ZfjCB/qN7CHDV41kxC/0M/uN+M1si3pwNl+X+I10xTvQ8HzV+G3FN+NX2b6etgJui22po+Jlxx4yXcnf/DutvquOBvYQxZrIF5CZQOf9rWZb0MnsQd/ZGCTf9fKhc/ik3NPn/Rbf7eM3ijXohAHHQx7ykLL77rt3DTxH19p45eMsdHThlf8u4hcZwdfLjp3wPLrycWCM77LjIWsXslhDucddDX7muxmNSPbMd5EPXFr4rflChG/NdxVr5jX3sBvRX0gWOevst7rVrZbOje9/a+09ce9737tbc7/sssu6pQU+GNpzn/vcbmtcFkjXniQzRzMCMwIeAY1E2erK+RVk09PAM01/j3vcYwZsE0ZgbtxHKJeGECehMeTox2gUMaLaDfYKPVAScRiB2CllEus0LRTtLd5gDM+EZwRmBJoRUDY9I3gO2jrrrLO6bHpG9/Nn00Ngg5wtn8GoqYno++y7MeUanXo6tbr0LNMhOAf3s5Ndzn72Fn43pOyiHXVGtFzh+dN04FCshG1Lh6dVhzUaGd0aP630+55v4aH2bOt3Q+zX6lHPR3T6ZGyxhzH+NpXsU/vbGF9fbXxrcdPzSyf+YQ97WNltt926A6q4QpZpeptNPxW/Y/Teim+L7H1xY4zNZfy22t1Yf6vFtS5b3n6UqOTXSWwWp2c8yhDmGdUVNRjK6LPfKfHF86S6PE+WxlB+leQS8RZlCIuG1ji0n53EFPZ9M3UdreNqHW6o7GPxjRwoqgsjkAx+hN6HL+/5JLE+XUXyS+eRzdnkQGGmpKdWe4j4pf7I5iR7xG+rL4jfyLYyWcTXFPjW+I1kr/Fb8wVloA/13Zrs2OVQ37W68kEt41f+7m2oz7Yye4AHr6sh/hbZ/FDf5bk+fqPYyDuZ3u985zt3h1YxA/nGN75x6Wx6nYkf6aSFX9l1hmMWy9dqrMlkX6uxBntb4KhRBf1aYymHjpLQlCEcOZx3Xv6mQWQtyGYhWgNupRE5nJwhOiaTw1s4hzky4CjYIDvT0meccUa3d5Qznffcc88u+5REj4xf6vcZt5dffnkXE8HA4p7xy7Mt+PK8ApoNQiSWIDf8onM6JDbg1Gi04JvxC64sZ4AV/1vZI37H2kNWF/JxPDA6858x+HbO445ursnO1kJ0zozPaskeNe7gzu4HsqO9r8vmlGhpcck6CmN0hexd9q7Dq0ajBd8sbtlYE2WfQ3+oDjO/yuyUeIGuoUHcAAN1QPribNRgtMYHZMfes1gDvpw4yYUzDFi4gIb7JNghw84Y4sTQdiFrkPFzbM63C8pw9/F3jG1Fvku94E3MmyLWtPoCPBHn10esiY7yJs6zzXmBdRj70U1YWbZ8lAFI4IgybnVKm21kUDRGD/HrX//6ywJdlhUJjSgjtJVfDIiGnexRD0x2+w/4wPOJJ55Ydt555/LoRz+6W6ciYPBOhonnF9nPPffcTma2nnnnob5WfKMszigjFNrsVYcndI6+LP0MXwXFKPu8piufwQp91vigy1YcS7uWwdqCL3rK+KVhPe+887qLcPwH2aOM21bbQib4jXyBAI/NoAP7mQpf6sz4JdCw7dH7eo3f2k1Y+FCULZ/ZAwGebVnkcKw01mRJnhG/ijW8QzKZ70zXbCuzB/j3vkDw975LA8MWUvwT2uje0u+7FS7K5m7xBWTH3qEJ9lmsgbd99tmnO6nyQx/6ULfk+OAHP7g7utbO0GT8InuUzQ0eP/7xjzub8434+og1nNdBLJ0i1vTdCuftAfk41nuqWJNly9diDflgi+3b8ItjMOyopxtt81BPl+ejLVHaKmGdXVNINRrRtgoM2b+j5yL5+C7bOoIz+mk3+OJSBhp4zlhXAgp1ZCOM7HIE+Il6uhm/4FPDN+JXsw8RJnyXbdFrvcwBOWq68j12ZIy2Rmb8WhvyDXLr5ROSrYVf5GuxLfEbXRgh2SP6EY6aUp2C35rs2G92wUVkW5lOar4rf1vtWBPxq/jjfXqIbXn7VQM5NNbIp1tizZS+oK1a0bkLNpbznLLp3/e+95W3vvWt3Yj+rne961LsVk5OVFfkI9QvvXscW313jC9MGWsy2ZEx8t2pY02Gb+a7S7HGB03bw/MNb993kTNE7/TVs2xo9T8gTlGX6sjqisqZtvrqV7/anRvPlLw+MrpWfltoy4DU0AzRSY0v1RfpvYWvIbJHyR5T02iRI9JTH75jdBvpaircx/Jbk2MK2xprcy349sk+RXzoo9HK71R6H+JvmX0P9RFG2Y9//OPLxz/+8W4Ef/rpp3eH3mgw0+q7kr2lXWihUdPVVLhbGkNxzNq3KW1L9lCLNfNWuB6PYEpxU9jPPtTx5+dmBGYENl8EWDYim54pZabpmd7mClkOvIoSWzdfpNa+5PNWOKMjepi2l0lCivaz04P1PVD/vFV333feNPqej0bB2Tu1uqDbWldkxmP4zdxhjBy1dzJ+p6Lfx2+Ebw33qfAdg0mfLEPtdGqbq2HYYr+t9q7nMxqtumql36qPqfklb4LcCHvoDWfTc3Ll3e9+92Xi99lci65adV6TfSpfH4vvVPT77KGG2QKL8ppG4EGblGPLlfSkqQXLPHXQq7OE+N0mIqgu1gOgQX38b3uD/B6ddwwt6vLbKjJ+eV512SkSnte2FZIetP4tBYpfnQtNBikJcCTQcQmDxUo4+KxSW5fnF9mVQBXJ7ncPCOMM3z5daeoGuXXEK2XK1LfYU1eEr/hVJqt4ivCt8SvZ4cPKDm+yLT/1yN99+FKftdOIX2igb+h4HbbaluXX+0LGL7KLtt2lQF1j8R3qC9BGdp73Nid+h/qu5dfrKvNd+ZzuXOiLNWAqH42mN6W/lliD3JnsEY0xvoB+rT3o2FvqR3YdCGXjg9akozg71Bcy+1WctTr2vhvFcmQXjyQdM03P9bEcekOCHId2kVSMHvhEvis7QY/EGu+j8kUff8f6grdf+ZvX+0pijRKXW2INcvrPSmN5X7trY82CT5DQtpgoAYWKo3JtKfG9CAHis+X5Wwl1NkGutt0OGlHCTMav9k1HWwXU2EWy8zwJEccdd1x3vjonON3sZjfrjDQ6mzvbTiNevew2ycXKrn2h2dYcyiN8s8REryue0/tKavP0I3yz7SlDtkba+qHN35He5TBRImOWsBjhq04d9UW6jbBSgIoSP1t9AbqyU9/4iLZs3wbaiN8+fIfyCx+yHU9b/Ga2NZU91PxN39mgZe3UB0dtqfO+ECXOqe7M5jLfVbm135ptyXcjX7c8WJ4z+9UaauQLfVv3WmNNFMu1tQzZoUfW9SMe8YhuTzyN/Otf//ryoAc9qMuwt4MDX5ca3MxOo8TaWqwBlyw2ertWrBHGVo+1WNMSy2v2IJkjfhUfvG2NiTVqX7NYs0h/5dnyMJxl3GbKzRqlLJiLhgdFzjA0g5Xn1WP2BgkNRlass5NUwv3sZIwq+EbKauUXmlEwl1y17Ggf6LIsThl3S7Z8hq9695GdZA6nbNioMxI1GBm/cqDMSVqy+6fOYIW3zB5q2fJRQI1w1Mhtimz5vozxjSlbXp3vob6QNaJDbMvbrxqGobFGPt2aLZ81Mq07c8bEGuFrZUeOgw46qNvSxy2Rb3nLW5ay6bVlL7JTxVmP4/rKlp8q1rRmy2tWrRa3IttSR9zatgZlrbGma/i9k0TTVArwfd9FDGfvLJuvWCzwU1H2mey7Pp4y+aL3MDoOP9A6O6N2PvbwiSE89eE1Vvah+NZwFG8RLhEmNdz7sPf8RnLXsBprD5kcffSzYN6KlTqcQ3xrSnxr+qjZXMRvK19jbW61faFP5zX6K7UH1T2FX43xhSllZzqZg7v+6I/+qEswJtmObHqm6bfffvtlpCTzatuWcJljzXJtz9nyBhMMhZ7p+eef350bf+1rXzvzj7l8RmBGYEZgs0KAKXtOtXvoQx/aHQLGND2HM2mafrMCYyMQds6WN0rSfnYuUuDceH3oFUY9w6yc92rfRXYxpq4xfIk3z0Otrqn4zfxhjBxj+J2Kfh+/Q0cRmS767KePfqTbmg5bbLuVtvWhFpvLMBxLfyjtGvatPE0p+5j40GrvfbJb+Q844IDuhFFmOcmmP/zww7urr/2yaattzbFmXQT67L0WaxZshjYPkrGoFzS1wt86YlHrOJYFvWMJqS6tL6suJWqwjqGkN9XFM9QVrUsqi94naUX8Up+yd/3zomnPmmY949RTT+0yQm9xi1t060vCBTmUEapkOM9vZNARv5IdOb3sEb+iU8NXSShWV55fZIC2nqU+/S2HruGrqTU7vdjKr2RXJrSScVaKr7VHa3P8bjFBPmhGOxJq+Lb4guzX24OwjmSXHVp+0UlWF9+1+AK0Jbu3OdXlA4hwjGxLdWW+4H2XumQr+JnXicc3813rC1qHtI2n+LLT15nNDcE3w0T+EvmCtUV+l41b/K2/DfHdvliT2cNKYs0QfMFHh95w3wbT9OQq3e9+9+uOfJWtkbEe+Sh8D/HdMbqq+dvYWJ75go+N1neinV+tsSbjN/NdK/sCzNlAqyxHCSNj1N+2XIanzF7fuKtuH2gtUDbjUo5pyzwN26lQvaLjHc7KFskBHcC46KKLCscuMg2PcVJmt4RIPi97xq/48nJYfj1vFl/fe+3DN9KV3pHxWR14WjV+JYOX3WLi+bV6twFYeEU2Z/m1AU3lkd5lq7bBiOzUdmxa7LfVFyRXpHeLl/e3yH6zutT4ZTTUmGa+4N/LbCuT3dq8pTHEF7zes7pqvpDZVp+uvL/VYk3NfoV/hq/KbefZ+4r1t8h3W+3By2Y7IJGcY/C19igZqYcrZJmm33vvvbu1+Ne85jXdNP1NbnKTpQGEj/997cLQOKuGX7r3sSaKc1F8UD0Zjn22VdPh0FheoxHFRhsHsnZ3wWfKqsfqs/MggMH67WBiPrr2lO+ibHnq0G1qlo6MJqsryo7u4ze6gIEeI+UaZXBuPA38H/7hHy7dz27f4zl6opHs0I/4RZaIX3sevZVd+GayZ+VRRmjGr7ZbUBe0PfYRvxqheTtBPr7L+AIra3SyBdG1tKfEN+NX+s7sN+K3z7Za7AF5ed7jWMM3sy2wbOFXskdZ8dTVYltqtKJtoVld8rfWWJP5VXS5kkaCfuYAPhkteXtXA9hiv4pbkd51+ZAN5rLxyN8yfsf4AnVFvquZEi97Ldbg19HFRxm/2mXDbXJM0//rv/5redvb3lbudre7dQ2+vyxIDWlrrGn1BXBET172sfhGcbbmu7J537i3+i78M3pvaXeXZI9GXRFD6gHWvvPBPHvH9nptfUNorJRf0db/3PT2xS9+sTs3npuQtA9xCF/rg1/bq2zBN8NY9UU4Ru/UdNinR89vZDtWvqE8jXmnDw++j/Bt8QVhFdU1Fe599pDxW5Mjk30qe6jJ3oJvn+wZvyuhwSCEESn/02DtuOOOXXXHHntsOeWUU7plBvaAH3rooZl5r3Mjmx5q9asxsabV38bgyzvauseRtX/8x3/c4cUP93DoBs2VxNMhskexZir7HaOrPuzXR6zZbLPl6RGxRkTG561vfety5zvfueshzZ8ZgRmBGQFGZRdffHF57GMf2009kyX+9re/vRuV8vff/M3flP33378bMUezKJsrgsqmZxT/wQ9+sLz61a/urpDlbPr5s34R2Cwbd5xR+9m5c5n97PSkolH7+lXHTG1GYEZgrSBw8sknl912261roPgwCmXEzomVTDk/73nP66adiSc6znqt8L6h+WCanpj6uc99rrzxjW/sDr2Jsuk3NJ+bMv0uoc5PmWh6JppKGTPVEdGIpjrstKYHPfvOT7PrvVpdjNDZz/6Tn/xkaT+7fX61+R0rewsmGQ3pdqUyjtVVi+x61ifMWBlWKkdfXS2+sD4w2Zz5zWy3D5MWm1NddPSZ0bvtbW/buR3r9px/wRbZ//zP/yzHHHNMeepTn9qdt85U9EMe8pB1pt9tElkL/Vqc65seXm1faJEDvMim32+//cq///u/d/H2tNNO6wZSXCEb7VrZkLJvir674C/m0GUkPqsWY0ch0dqGzSy3DZAuYLBJLtqao611lg6/847fSkSduvjBJ8xou8FQfullc2b8l7/85S4zHmfVAf+i7U+ks5fm+A4PJzdlmMBTJLuCheW5hq8uafB0WvhlGUJZl+LZ0u/D1wcO6SqTneetHvkdHNGXt7kavjXb8vgK1ygIyRaFpbdTz69sTtnn9vlMV9QR6UqzQrrIwmKprXARvnab51h+oS3detyhmeGrS5S8L9gtpJanmu9SR+TXrb5rdTLEFxRrZHfW3iV7zXeVjMX7HGrF1DJHUnPPxEte8pIuT+eb3/xm+fM///NuCy2xREt79uIYsPQ2XvNdH8vU4VgfsUb24GNwxq98wQ880C23anLJDFfGMgNCI88Vsozib3nLWy5t0dS7socWX9BFQlms0TZE0UAPrfj2+YLndzViTTSwq8WaLonUZ4tqj6PPbFVjnGWqRhmWOA4OkmWw+gxAjdAyGtEZza38/uAHPyif/exnux45CTLwKHr83p3J687bl2NGmff2fa+AiF9kxhi87GPxbeGXZ8ELeaPsy4hf7UWNdKW6vNz8zfM+QGh90uM4Jb4Zv2COXjPbivhttS1oKKs32imA3F72KfHN+NXZEZn9Zr4b2Zb2b/u6ar4L7jzvsW/FV40c9Xh8M99VIxtl99d8V/bAuvvTnva07kS2F7/4xZ2pk0DHWRh8bn/723f7upkFZPuXjR3Yu2joPHX5ylqNNdgwuvK+m/Grxj2ya3WOqIspeRLuuGnzne98Z7c7iXs7LJ0pfUGxxut9TKzJZM/4RcdTxhp4bvFd7czZrNbcL7/88m6rxrWuda2u1z00mztqvOayGYEZgU0XAWIDDfvDH/7wbmr52c9+dteAM6V85JFHdlPMf/d3f1dOOumkrrPOTpv5U0eAThFLGBx48+EPf7hb0rj//e/fYTp/pkdgs2rcMSgc9N73vvd8bvz0tjTXOCOwySBA4/7Vr361fO973+tGTQ972MO6pYXnP//55SlPeUp5znOeUx75yEd2AwUy5xm9z59+BMimB0tmQpimP+uss7pDb1jyYCQ871jqx3DoE5tN485+9i996UvdLUYY0pwZP9RE5udmBDY/BBiNM/X+9a9/fSlHhMadxpyff/7nfy4XXnhhN+pkapm8nWzJZ/NDry4xDfid7nSnLuGOmdQ3vOEN3YCLsuywlhnDdgQ2i8adKTTtZz/44IO7qwp9EkQ7dPMbMwIzApsqAsqLsY0NZTbBUFedZldCb6rYrFQuJfayBv+kJz2pm6Jnqp58KC7tYnvy/Fk5AgvKNqQqpqJsJrVtALOsSN5THXYNW3XRS/MZ4/SASfLhxzpGLQMbGn60rUxgePDnEfMsPWp61+9+97u73jZZmpRTFz1tki4ko/jlHV9uMy4tJjbb2Ksi4hcclG3sZR+L71B+SbKABjwjuzK4xXcfvj4DHbyjixFkDzriUvVLdv5X9rZsbip8rT1Yfq0tWnu3snt+rT1EtqWdI5E9KLFO9StrW9nyytYVv9E2nFZ8M9+FtrK1Le7wJvv1/PKdsqNtghg0Ml1lvss7YAUPOq5TeldmdoZvFN6yDGHVb30Xelms6fPdyB7Er5JixV/ku/Ah/4A36+8bQ6yxiW41fu0uABtLJS+xRolnto1RLAdLZdNzcRdnCpAPte+++y5h1uoLmt6X7m0bY7Plh8RyZJcM3hdkD1ms0S4sa8fYQhZroBX5gvgfGmuQEd66s+WtUpT16ssVzLxhw7jOF/aNu7Yq+duglEGv7G0JL8GiM7B1trs3OvFu+aU+NWas61xwwQXliU98Ynd0pDobyl71skeNpZXRA8zf0ZnZyOJ3Cijrkne87FnmcB++Q/iFLj+WhqUvo4r4zfCt6Yrv/Kldkl0Z2BZ3NQBehzxDXTV8vW3J0SL7hbanYfH1ttXnCzV+vS9Ibs+vOqa+rj5f8GdzS4f872XXLghLW4278I18V9nOVlet/Ervkb9ltjXGF9RYeNmzWGPtxHcihMnQWCN+bWykTIMamzWuBk4B3vOrTvdQX7D68PyKvo81/C078bIrzkb2EMUaxRYvB/Xqed+467ha2aOy6VmH5wrZt771reWwww7rsultJylqF7JYQ53SvXBRDFR7NTSWe36lwyzWWFuM8I18Vx3srN2N4lbmu0uxxm95kOKjct/jsKMyvWeFkYH7uvhbP/Z5ge+3zvGMDNR/J8fyNHjnM5/5TLennYxM3c+u573ByxijctH0NFCIdeJI9ohfvRcFlUz2FnwzfuWwNdk9fTmml9021l6OTL+18ogndYIiTDLbyvit2QnvZHqXTVoZeTbyBcuvDY6yrcjmM75q+Lbym9Go8Ss8It+VPEN9VxhGdUX4qsGq6d3jm2GS2dwQ3x0qu/jNnpfvWnlqsTGKD32+EMUhyrJYU4tbmZ1mPhLRGBNnb3jDG3bZ9B//+Me767fJpmeants6NVCcItZk+GaYZL7QF2tqsXyoL2Q0ar4rn9pk19x/+MMfFm57u9WtbtXtsZw/MwIzAjMCMwJrFwGm8mnIuUKWs+nJk2Kangb+xje+8dplfI1ytkk27uxnZ3rHnhu/RvGf2ZoRmBGYEZgR+B8EaOBZ3rBXyJJNf4973KPc/e53n88mabCUZY17NP2raXElAvn6a+/UptijKZboedHP6vJTdGRfkkj3uMc9btl+dk051aZMIvkiTDV1Gn2nacJIRrvWo+811ZvV5WXswySqx06VRTJmmET8ZlNY4itaJomm+/T8VPhqGiuSL+Kpxm+rL8geIl3VpvymwrfGbyR7jd/MfjMaNXuoyZ7Z9WrHmj7fjfCqxaaIX9WxscWaTPaW+JBNZffFLesLZNNzfj8j+E984hPl7LPP7pLtGN3buLmpx5ooPgyJNQvnnHPOOtvClJnnFYnxKknMB056W1GyA8lrPqDDFCNrsvl8IEYI3onq0hGaXpHil+QJ3mONnZuImIrfdtttO4OwH2hcdtll3eEJvq6IX96dUnZuo1OdPqGjJvtQfDN+wRq5wZHznX1ipBINfbDN7KFPV+jDJ+Vw4hdy+Iz1qfBF9ohf+MDeLr300mX2wDvdOcyO36yuMfYAffQOxtwiZvU+Bt+arvwaNn+TtYvuva9L9hbb0o4Lf0RzzR5EO8oyjzp31KUkpqlijdafbX21uBV1YlpiI/hg79g2MUjrxqI/Jtbwjsed+iJ7kM1FsQaelFQW4Rv5Qiu/1K8462NKVleEL7wQy6njhBNO6LYx3+c+9+mOAEZ/uo0vijVXXHHFBos1yO7bnvUVa4hzXUyLGtioV2uTsbxBKLnIK1FJELYRtT2OiHaWOBHVBR8KlJwi9f3vf7879Yh1djIt1SHwjbsCoO/AKGMx6qFGmNSSXDLZFWS87Ho+op3h28KvetKSA6exow3RiHrBktPi2MevD47QtbhnsxdeV9kIMrMH2YTFUXSz0Zrq8vab4Zv5gnDSDIlkEX2NYL3sEb6UReUK1lHjE/Fbo53xKxrZiDvjN/PdTO8ZvtopEPmCtrgO0dUQ2TN/y/CNOiORPcjfeF44Wp5bfFc2nekj8l3JLl1Zm6vFcmV6D8EXvuTXEY4a2PmY0uK7wol4vs8++5SPfvSj5S1veUt34A1nltBZpj7fuNsZWu9vrbG8pivvC759i9rKob5bw7cWa6T7hZ122mkd+ihXXw7tNdd6wFFPk5ECNwZ52tBjhBWdUpTRkDHSgyM7ftddd+2uX2Rfe/YOtHnOG3A2Ihozkshoy1Ej2bN3WkcYGb8c/Yg+kN07Y0ajFmjH8MspXv6QiinxzfjVTU3cUjXUrqf0BeyTQ0/Qge8kZY14K74Zv9xiBo0Wm8t8oTbLkvkuIyhwjy5Lao01GY2MX2IN9Ftkr8WaqHHXiMzPgDBap5HZZZddyjbbbLOO3tdqrGnFF6GiGQXsBJsn1gz1t75Yg/8wYmfZ9Qtf+EI3Kj/88MPDQ2/QIQ3/FLGm5guR7+oMl6liTTZjk9kpuCP3sjX3LEBQnk3laArNN5aqK5vij3o19sAB+7167Flv/qijjuqmHdlKQcOe8SsDiqb97BS/px09r0Yp25cf9bRF38s+Fl/q8R0o1eXLrewexwxfTcNGOqzZgx25SFY1DJns0VRvjUaEb8Yv5Xamwus34rfVF2wnJZrFimx7Snxr/Eay1/it+QJ1RbaV+a6mgSO9R417ny9oJOV1GPlCZnN9vpvZQ9S412INz2d6b/HdPn6njDWaCRiCbxZr5G9ZXS2+K/shzl7jGtfozqbn6FrW4tkVRXY9R4r7TnNk8xm/ffhmuooa99WINVlsjJZQhNdGny2PEx577LHli1/8Yref/UY3utGynuJcMCMwIzAjMCOw6SBwwAEHlOtd73rlfe97X3c2PaePMnXvO9WbjsTtkmz0jfupp57aHXpw61vfet7P3q7/+Y3NBIFsp8BmIv4s5iaIANn0f/RHf9TlWTGKP+OMM8oDHvCALpF6buQXZ3TtNDGAaCrDJnxRbqdZfIKCpgF8UoMt1zuioekyW5fKomksP72m7G9uFUKZ97vf/dY5L1382rokh6ZgbAatld2XZ7KrHs+v6srKec9Pz0f82ulsTbmqrI9f1acpTJ4X1vY7T8PGAOFFmed3iK58Eo/kjmwu4knP1/C1cln9RjQi3CWbpsctvpRhC76uIfbgfaEm+xhfyPhVQo/1N9a68Reyd/lfa4HW5jy/srcIxxZ+pR//ThZrNI2dTeXXYg3vRj4d8ZvZVs0eFBsz37XlshvVl8XZFn41pezb6Qgr4RvZ/BjflexDYqOlLd/18V/2Zcv1bEus0TQ9h96QbMcuKHKutF1uqP3WYk3mC/LBLNZk7ViL70rnHhNrp1msWbAH6fMQi/T8HwVNZZ/7xt2+Y4Mj5TyrH74juNigYgHgOfjRhQu+LjmvjOeDH/xgOe+887r97DTw9qB+wKAen6kvsHRvsDUum11vy3U5gt9OU+NX9csprOwKYFb2iF/JX8NXa+ERv8IfvJQdL5519r6lIYOxuCOHOgi+I+bxrfELn0oM8TYnfMWv6oFeREN2WuPX6orfqQe8PQ3qyPDVfQo844OQ7NRiImx9fgL0oc07kb/xXmRbNXzlC15X3nfZRXLKKaeUZz/72V2yKnzc7GY3Ky984QuXzu3WO5Here8K94zfzHdl26yZyh+yWCOdaruUb8hU7gNa5LtgKrx9w5jZluwhwldxycZG8etjIx0qycp3/K6YINlrvjs01lh+o1iDnF72Wqyp4atY2hcbJZ/o+MZPOHrbGhNrSKojSZfseZL3jj766PIv//Iv3Y4pHXqjC17gqxbLs1gjvjJ+fYfHxhpvv32xxtuWdDc0bqlTyXsLPoNVju6TxDSKIVhEH8qtw+kZfxkJ5dStfemWjowzuhcZYHUBBnVwP/vXvva1Llvypje9aUfOvid+fV3QgDb8Rpn8OJwvV4fEy65Gbwi/wkMXAOgiDZVn/Or7DN8WfrUFg7o8feklapiQ09sJOGJI2R3WPO+ngkXT1zUlvnK0KDNbeo/sN+K31RdkD5GuoA0Nz1fGL/hCvwXfiF/OlCDJ9JBDDinPec5zul0q/P1//+//LS960Ys6KPwlP8Insi0FD+8LNd+lHp5vjTWZX1EexZqIX2gSnL2913xXmHj7Fc3ItnjWY6I4olgTxZUpYk3mu2NiDbjAb7SME+EL/+DrZVfCHLrydflYLnur+UIt1qgN2XvvvctTnvKULpue9oFdEg9+8IOXHXpDrG2J5fCX+UIUGykDl5X6LnQ1KIj45fso1sBr18aGLfUaL/zRj360dD87SRQAEGXRr3ExZvZmBFYdAS7g4POnf/qnXbDhh5HNySef3JX7WbhVZ2gmMCOwighomp6tYORinX/++d2pdj6bfhVZWDNVb1SNOw04Iw8yJLfbbrtOafSQ7JTcmkF2ZmTNIRCN9mAyK19zAoxgiEacwGY7v+wXvsMd7jA37CPwnF/ZOBC47W1v2+WWHH/88eWNb3xjuec979nNXvnlyI1DmnFcbjSNu6ZsPvShD3W9Me5nZz876ymbcnAep9b5LY8AB1rwE32ypaZNAUVk1pqjlYeDbbJpw01B7lmGzRsB8q/o1N7kJjcptBlM1XOF7H3ve9/w0JtNEa3BjfvY6bux73mwWeeiF8Z+drY7aD+71s5aldPCV8uzrXys9Pm1zNtKZZvyfU4vfP3rX9+dcPW0pz1tKWP8TW96U3cXAT19OoxDtoytD8ynosF+4He84x3dRUoknfI57rjjyute97py5JFHDpJ3iB6m4ncIrfmZjR+B1bYX6qcDu+OOOy4dekMDz3Y5rpDlKFs+Y9uPlWhgtWUXbwv2Eg9GwPxttzLoQS3sR0KpDp/BSrmypPUewZORBFPp/G8zPJVd6UfijKy+/e1vd+vsN7/5zcsd73jH7l1A0qgk2p6i7FTRpl7JAW8+i5My+FMiCu8p89Nv6ZBh8I7/CEefCyDZed7LPhZfJTjZDFZla4pH/td0FM9pV4HFHjk8v8ghfG2mKPVJV5k9KOHO6l3ZqFb2PnyjUWeGr/gVr0p2IfHyyU9+cvnDP/zDbtbnT/7kT8p73vOe7oxq/n/sYx9b3vzmN3eJQXwHPn2+4LfyWHvwAUMyIov3N9nxSvGN+KWM6ffb3e523X7gP/uzP+suM3nZy17WdWS0zCVZrJ+AgU8isvha27L24H1XGcryLWunmnWLtj553xVvNvPZ8hv5bi3W2NjhbVixwe+0yXwh8l0GI8pwBkvWghVDpKss1sgvbSPA71GsgffId7VDRHJaX6/FGtmjlz2Ljco+t/YgO4GO7MjqXfxaHU8da7RzQ/LQyaWh5yRTpukPO+yw7lwULetm8Qy++nzB+q50C327e0s2ltnWkHbX24Nk8+0utPluWba8GrSWbHmIRll7yhr0yW42W946lgzQTpPCOBm/NOw77LBDedCDHtTRsoLyzFB+oaHs3ehIvywrEkP1WbLiIZrWhY7N7pecNoPVyl7bjVDDt4Vfny1v6UMj4hds1Uh6XfFdJLue96PgaIcEdWqr2BT4en75G7v5x3/8x86Zf/CDH5RnPetZnSicbMgWsUMPPbQb0f/93/99d8Wkt7/ItgjcNX59IyfZo4zxqfCNfBc+XvnKV5aXvvSlXa4KsrzkJS8p9773vZf0mvluZFvq+Ee7J6Af2UO0UyCynWgU5Uc5+FULv8gbncFd893MfmX/LdnykhMMbLyBRovv9vEb+S705NdDY43w9TGbcp2XYOvS4C2ya8VZHwey2DhlrFHGuHwXHJimJ5ueBv5jH/tYdzsmeVvkb8n2sniW+ULmu5LddxxrtpW1Y9Q1JtYsRD1tyoaWK6C0vKNnh9JgOoURF1t4NLWod1vrss8Ppd9Kow8TfW8Vn9Hoq6sFdzvSaZF9Q/IbydeHieeXhpsfGjl+nvGMZ3T2Tc+aSz348D+9Z6byGGX10RjDV6ar1caX4MpSBCMX/2m17dbnazb33ve+t3z5y1/uEp04PpS6SZh97WtfW84999zyqEc9qpupG+InY/gao8MWXfkYtRI5rD226LCFXz1LY/Ld7363W86h4WOWhwuPaJgY9XL7Jp3DO9/5zl3HvM+u11Ks4QKfhz/84d2yLu0KtnbEEUcUttFF57T3xYEx+LbE7DHtgngavOa+LCqspwL2K7LOjvPvtdde64nqcDJZUhLldipseI3zk6uFwEEHHdQdU8wonmk6n2Dng9Bq8bG+62VWiPulo8Z9ffMiev/0T/9U3vWud3Xroa94xSu62Tn2JDOTwtIBZ1cwi/L2t7+965jNn/WDACPX73znO93yFKd+fvOb3+xGu29729u62R9iMTNgnJnw8pe/vNz+9rdfP4xNREUH0uhs+ve///3d2fRk0xMfNqXPmm7c/X72aNpuQymDY2+Z5qTHh6HTI2QkyHomDsHpSI9//OM3FHszXYMAAelb3/pW15DQoDP64E4CdltwwiGfn/zkJ92UdZZRPwM6LQI02CQz0oizPkhOzUUXXdTtv2cJjmlI/uZ3Gpr5s34QYCT+zne+s5uufsxjHtPNpDCKRxcsY5Gbwo1sdAJoGDe2xh0UNejibPonPelJnY0xiueGOZZ9ma3YFD7LGve+qapI6NZ3shGSLdd+dg4jwNB0dKVfCxpLO+JhaF0cjkAj/td//dflE5/4RDfa+Od//ufu1C/WdJlOpFfLHdJk9g/51EaNQ/kSnex5+73nqUajRec820e/hXYfLlFdvgzbQV9kjNN406Czzk6jwmjkggsu6EYmmhruw7Fmv2NknwrfMbSnsq2+WQ//PVuSmFF4+tOfXj71qU91l3+wVYkzwbW+SMeZhmWIjsfK3oJ9n94zP19JrOmzxbH+VotJXJ192mmndXemc1b7c5/73E5X9n70Pffcs/ueT7TDxC5JtPh7iz7Gym71wXKDrpBlyxzT9DTw9tCbMbGxZgtT2kPNJheUcSeglLWHg9lklrHZ3EyD2AZZGazKZvTZ8tCBJ5IedG48o+JLL710WcIXgimDdQi/PK+zehll+6z4Wra85ZMzjNlKxPnFdEJo7KmP9UOSsthbydQiPUKmtjQVpAxWsNZ50zIC4Rspq7YbYWjGrT1bfkNmy2MLVnbktX9HGaGRoyjj3tqWtQebwXrLW96yvOpVr+ocl7V1GnoaEZyYXI4PfOAD3XWRzLTYDFTZQ7YTQ2cviD9lJvsZJp5TBquXfTWy5a0vyN+wL29zGb/IA1+8a5PAaroCI71j9SWf89nyjPx4nks+8O/XvOY13Touz+t8c+pURrUyxZVhb/2E37NseWSOYo1kj2xrimx5Yovl3WaVZ/yO9YVatnxLrFEjRqLZbrvt1vkMs5AveMELugYemaDFjBf2hH74X/HJZsRrx04tW36I78L/mJ05kb9Rl73bwfLLND35XFw+w5ZZpuk5rx5fqmXLU6eNNdKtcPH21ZctH7Vj2U6tKFvexpoFALZCKqPaltvgFR3zqnOEvcPxrH5sD5Tn9WPfoQzhWGf/0pe+1I162Y+oLVpZXdQxhF/bm1RdVnbJ4TFRw65yGgs+ykLGGGQ0nP7F57rXvW7XwFve+F29XCWiWFyUQesNooavvrNyeH6pz9JDDk8/05X07fFV0M7swSenCAevd8ojfuU0ks9jUuNXOAoT6idpiwtTlECn88ZJNONH9Ox2pSG+4Dsjma5UbnFHdnW6WvGVDq39RPwKd9me9Td4j/iVvUT+pm1zEb/+eepRg+H9jSUt8h/YqsfUPOvtNO7qIMAXnXvdYGftUHL6mJL5dBRrrOyZbdkRqXDk2aGxxvp6VFfku/CleJfZVsQvduRptMYa2QaY07DR6WLbMSN2dd7kH8yC0cgL2yhmCrOojYlsS89FtqVdTpnsvu2J/E3vasBp8aWMQdnuu+9eOLKZgRmzFwwAGAj4U1BtXI/ks/ZiebZ89fmub3ctv3wnOSLZu465D870ziLGZCjRZSvRJSQQ1/YPa3Ryjixos+bGNoXb3OY25eCDD+7kg0fR8HW18itjzLapRQHKBjurKKZzbnzjG3druNe73vU6JxA+NmhajK0B27owXn5a8W3hV4E2kh2npTzCN+p0qLea8RtlntrOk3fSzB4yTNQ4D+WX3jeZ8PpYvmlQZEe2vGZbWUdM23wy+by/CcesvGYP1qmhl/GrjkDUEcv4VTCN4kMUaNUoRfx2gWax8bF1McvFITp/8Rd/0QVSpkHZj8+I/sUvfnF3qNAnP/nJLtlOscTGAo+vbNrz2yd7xK98weOrZz2NLDaqXH5lbVV4RDrJGobMF+DXN+62E+Jp1GIN79GgkXRKQ/f1r3+9y5Q/8MADuxwjdHP/+9+/y6Qn4dE24FYn6jzJJu132hY61HdrsUaye11lscZ2Nr0NESNoyMmmJ6+AUTwztMy+6nIy+45mfj2+0sUUvqvBQGQnWbsr2Zetufvege099H3nAbbTFR7I6G+muLnGlekR1tn9KCOi38eTp6Pns7qGlJN8AYD3uc99uukbMn9ZNiAwsX7L6J2prZbEjEwO+BeOQ/Htw32IjH16r9HI+M1sIKtrfcgBT5p2j/CNeO6zOb73dU0pe80ehviZ123Eb6tOavYrG7a8cSPd//k//6e8+tWv7pJSn//853ezdjQe/Pznf/5nd9kNnfzIh4f6Qivuff6W2UOf/0YyTOGHlt+huq/xSgNHY0ZHmIRHYjG5RDRUTM+jGy4eogNAI5/tCLJxdqiuWm2upqtWvXtM6MxwRzyJ0+DA7aMs3a2kTZrStoRVLdasqWx5EhpoHNnPzpTPWv3QsD/vec8rl1xySfnGN77R9faYviLBhANS2DfJVD2JdvNnRmBGYDkCNOQ0FjQOdgTHdldODvTlM4brBwE1Gg996EMLP/qwVsySFuvw9tPXqVs/XK8OFbLpaYu4I15n09Oh0Vkrq0N1ulo3SLZ8xP5nP/vZctJJJ3UH++vcePucplP8u2PKqSMaWQ2tixE7B52QiMUondEHwYrjPZnG4Rxz9oayhjj0k9EWryvhN8KsBcdIhjH8ZlgMxX2oPWT8TkW/j9+ho/bMDms6H2sPNR1OYVs1e8jkzG5zpMFg2cWfyjVG9lad99Fo9YWVxhrRWx/+1meP/njqIVi12lYrvn24tMS5iFeWJDRNz3IxuweYtWC2iany6Jjkmv/3xY5Wfmu0FpTJLUXhcHrB9sqUzR0lk+gdS4jflZ2rYxChQS9dGesyFvYX0jPiNCqyFi1Pli+9bw0+41cZlj7JRFmeWmeVjJZfOz1ky6lL0yAkaPGjj44jZSpRH2X26m/JTh3iQ99F/Nq6vVGIL60PWjmUmWv55XdNP+uMdzulRlmGr2S29tDKr9e7aCOH51dyQ0+8WqOX7EP5tTr0tkUdNdm9L4jfKCmnxq9sPvK3MfgO9YWa7OI3sy3ZS+Qjsi1vv35tkLplKzYOiC/lTkS2FQUu2UMWa6zvZjYHz5mu+uxB8Sji18ZGZFXymTLHrc0rNvpY0+oLGb8rjTU+bkoGv8Mo4tfaHDHQJ5zpzP3IHsb4grdfxTrxZuOc/NDbb1+sIcGQvCr29rMswTQ9U/eKB5GPKK7Y2NUSa3gv41d6z2TvchHkwDJa/pZDWgPmd76TwVqGlaDhHU5Ta/Yd1SOjJqOcYyhZn2bKQ0Zp6+d30fBBPuNXz1vFWrksHzXZeUfPWqwkE9NVOo/YNubaaueTRsSPl0d1R2tYNXy9rvS33vE6tFhaWjV8PVZZHTbQSy9WX9aGrDNYXUU2F2GiuiJ7yHQbySFZfH3CMfOFqC5rJ56vyIZs3da21PhEOmn1BdlvTfZIVyqzvttnW5lOarJH+Ea+azt8nt9MV1Zmj2Wmqz57sN97e7dYWX16eTJ++/BtsQfZUCRnLdYoLkdxc2is8XYtG7RxFjqRbbX4lfUF3xG0mEdxbqi/qfG+4ooryg1veMPuAiZG8EzVn3LKKV1+Aluj7ba0vljeEmuy2JjJbvW37OIY9QR8ph9EaKiyu6+z8iiLc6eddlw8bvKnXZIGQGmdneMxaRSzuqJs7lZ+EZ6eJDSiDMQo+5wyDDGaJgTk7LKBiF/tY/SXkYzFt4Xfa11rm3KNxYx+trhEn4hf9XA9v+BYswfk9A5HHZR7HGv4UkeLPWT8gi90Mh1G/PbZVjZtHPGbyV7DtyZ7C788+5vftNkvtCPb0qio5ZIf+Vt0uQh0WmINdpcd+RzxC03NDnibH4MvdQz13W0Xc3G22urq3cDFv0M9Lb6rhrHFFzTKHsqvOgTRxTwZv+guWkJRxja68nEAHbbGmlZdwRe697JrJNziu5Kd/zlU7RGPeERhPZ5dHuSHsI3THo1O3b/65f8O+rzdtfgucStbosraHsW59Z4tf8p3vr64Jv3Zcq1trll2XNxPSUIaUxyss6vXETU82Xd2pOdHidF3Ksu+m6Lc9pq9LDU5+mSJnGQov5dd9JPyueM/VX7wo9PK979zj7LXPuteyNHK1xBdrYTfGoZj8Q17NIuFkiXit9UWa3UN1dVQ2Yfw++Mfnlw+ffxnys9/dkU5YjEIXWfH3ZZEEq/8v5q6kjyRL7Tga3FZTX6nsIdf/uzy8tnjjylf+sLnyze+8oVymzvcaR1RV8Pf1kqssfpebdvKdFWzuRY/zHyRKXnOMmF7IMnT5FexdfvC884sxxzzqe446wc+8PfKbrvfMNT7EN8dEucifPXees2Wf/k/vKy8+J0nlYu22rtc7crFk47OO748+4kPWtrPrt5p5PAaRfnvxpZ7cEV7ivK+ulrk66trCL8nffb48vjnvLKc8qs9y28W9iufeeTflhc+8dDyhCc+eYmVGo7rm1/Ry3jqw2RD8ztEJ1bG1eL3HW97U3nOP/1bOfuqe5WrXPnf5R+OfHJ53d8+sRx8t3t2JIVvK78tz/fpakPVtZq29b1vf6M89ukvKl+9cJfy663uUD77pH8qf/Gg48tfP/evQX0d7Fcaz/rwXS3b6vPRsba1ofltoc8RvGTTc0LpMf/xH+VTn/i38oHPnV5O/vn1F5PLtiz/78hnlH94xhHliIc9Mqp21cvWW7b8J/7tQ+UZbzipXPPAPy87Lk4NX7nFVcoFP7xFOfq4jy9eDHF5udrW23TBJtr4DwrR9L7KowDBtFBUVzbdWKPBNEdEQ+9EWqrxG/UcM37H0LD8XnLheeWxf/ny8u0dHlp22uOmi6HlynLZpZeUpyweUnGzfW9a7nDQwR37rfz26SrCC74inawPfP0hKlZn0YE7Y2yrpqtMdptUZHkag6+V4+uLo8U/fulR5Te3+bOyw3Y7dI3KyWd+vzz2r/65fHG//cqOuy4GoP/Re6v9RjkQNX5rsrf47lh+o+W3vroivrLYZH3317/8Wfnjv3xJ+dyvDi473v7AspjGWn7281+U577jFeWmN3lv+b0jHlb1t/XhC32xJpPd5w8hSFaX/K2lril9YX3EGuRnWxxbBre+6hbliD/9h7LFgc8r2+90vU7H51xwbnnCi/5p8QCcm5Sb3vy35zWMHYx6H611nkRnnWx5CpUU5hsgZctHCo6y5VWX1rjf/9FPl7LnYeWaW121XPnLy7r+64573qJ8+QufK//3JS8sN7nZbbr1dp045IXRedOevo7D9OVKWvCOTTnXX7Lu7N/JaChBIqqrhV8UwkE9fHQ/suSEr1pdkdNnsotf1te/+PnPlFN+vWfZebFhv/IXlyw27WXxDIFtyvm/c1h50cteWf7gzLPLz3/530vneUcJgNKh1Ukrv8gO7jgwJ/lZ+1LSiA+efTTgdSi/6JakGM4kiGxrDL6ZPfi6kF2HHLGe6WXP8FWegOcXvSO3D5yyh60X13nf968fKL+43qFlx+22L7/5xaVdFTtdf69yxjn7lr/9278tdzr4buXni8mg2rHi65rSF5CdraNevzX7RfaoMY2O3ES2qC5k4jAW3uHcDIt7n21l9gAtr3fZL3b9/cVlx5PO3rrsuHjuxRa/uLjzt62vulX5xb73Ly977TsWz2FfPOv+yt/uEIG/yH4j2Wv8RvZQizWZvyFbhm/NHiJ+KeMaX3BfTdvKjmCFNnqaItb0xdlrL8r4meOPL+WG9yrb7XT9Ls7y2W6Hnct5292xfPRjx5Qb73vLdc7I93rva3c9hthDtksN7Plu4fTTT1/nbHkriJyBiq1BRA2/N3jeEfBbX/2q5cKLLy0LV9tqcYHzN/8TqxbX+RZ/+81Vrla++V/fKtfeftfym0WGdQmBD2jKkI2EVE/Fv5OtRwCkzn33DVZUl9Z1oo6NEuEi2r4ueNdWCLulRO9mdbXQoC7ph8b9zMXGu2z5u0uYM4K7clEHWy7q4oILL178/sflip//ah0bWA1MkF0G7GW3dhbpPcI9eycrV2IKBw+tFg3qjXQl2ZVA5RuZVvutrbNR1zW2vvrimt+FZctrbr1oDL/+X3FZW7/q1uWss8/p9M6IcqxtRSOyrC70Hs0M1XTId1P4GzEIvvB3H7em9retF5PHzjjjjHLlVa65boO26G/Evksu/Wn58SLuv1pUiWY/WuJZTVe+nlqsWR/+psanNc5mvtCiK/mbZhWm8LeIL+onll180QWLF+z8V9liy8MWo+tvug5d96Gtu9rW5Zzzzi7n/+Tc8tMrfr7UJtoYBL/aOUCMWEm7C0/EOAbKC9yrbD/qDUQZrHwXZWva7WC2Lu1xpK773u0O5ahXnlB+vfvNypZXvcrifM5Vy+UXn1eufv7XyvVut2/ZfocdulvWyEJkdIWA9oAAbS3znQjbYFjagAW/PrMWI+GeeM4O9jIiRzSdo/2SXnZ45J0oezfiFyWee+65nWxsn7BGl/GLTNpB4B24j19GSz88/B7l0w9/brnk4gvKtbe7zmJUWcTlyi3LL089rjzj+Y8vD3zwwzvDyvDVnlSfXQqOYJ/JzvM2OMM7R/Ly/A6LurayT4UvWEX8QptRO9h7exe+nl/KW21L9uCzjaHPJRRkTTONZ2WfCl/LLxjfZO8blcOf/f7yi91vu5g1fI3FoHOVxZmTS8s1L/7P8nevekHZ52a37vxLvjvUtrQ/2/sC9kBdjJT8h3MssHfs0creii/1MhKPMrAjX0AmLjhB9xwl6oN8zXcze4AH7wvyXWbjLjjvrHLCEU8rJ5/9o7LDbnss+tuvyq+vcvVyxXc+VZ74mPuXpz7tT5duUluLsQZ80a3vWGWxRjO63h6wEzo6+Juva33EGq4PxhaniDVWdmxK7QaN6Le//e3yrW99q+xx/d3K8V84sfxsr7uWra7GbqTFtuFXi526c04qDzj8cWXnXXbr7I+6op0CtXY3y5bP2l0G7MSaBQ+8pvuy9ZXWck1v/f7vP7qc+MX/LG/+9D+WsuutFyPnFWXHSz9XXvGCx5Y99ty7fOaEE8p//dd/dU54+9vfvrvBi2Cw1An6n+0TPghl/ArAaAsKzhkFCGhF6686kCJbc4tooMhou4W2wvm6NLJpqavGr6bRbnTj/crf/+n9ypNe+o/lvB0OWty3txh8zzqp/Olhu5UHHfHQssX/TG1n/KK/bIoUXbTwq21wXnZoECSiupCxhYZ6vr4TSPCJtsZ0HexEV2NsKwr+KoMHL7v8KVoXbsXX8nuv+z6gPOvzXy4vPeplZcvfuUu58r9/Wa52xrHlpX92z7LvLW7buZXsM9seCE9RfMAeWnRF/ZHsmpb2NGq+C+2M38h3tRVuCt9V7PF12YthdlrMZXjFXz+m/P6zXlvOO+v2pWyzmO9w9tfKw25VFvdIP37pFrUMv7G+EF3QksWaPnxr25p9/KUuGiYvDzqV3n1nrxZr+G4KX5gy1vgYxGwEF+pwc+k555zTXY/7xKf+Wdlnv+PK89/2snLpTnekISlbnvXZ8oKH37zc+ZB7LFaxxdIyTLTkM2W7i466TkgE/LKu9/8EQD+tZRveaKpQ09kdOFffqrzpdf9UDn//e8unP/eVstXCFuUxj/6bpUSDWy6O2mncOZ+dU4D+YzH7kKtVuTgC8GSonrdsPYTyKPFHywvR+jbfReXaGxmtCUc04FF1RetzEY7iK8Ke7yJ8a/xavn7/Dx5b9l1M6vjAhz9ezj3v9HL/p/5euc8DHrwOqYxfZB/DbzSNlsmYlUO3FV/xm62LZvhG/LbalvjNdJXZYxTQ+uyhn98tyv95yYvLwQceXf7PP7x6cevpNcrz3vT0sv+BB6/TYa7ZVm1N2OM4hN/onWj6PfNd+VWLL4y1rcx+I/vx/N7jXvctn/2dPcr7PvDh8qMff6cc8qiDysMe8fuL07ZXLWeffXZ3EclFF13UNfQMYn7/939/qRO1En6Hxpo+fDPZs9hYi7O1ujy/U/rulLGGjgv1MSKmQeeOe2YfONSGo2n3W0xQpUN0+9vfoRxwh2PKhz92bLl4cVT/0L98TDnksMPXMRm1idFyTLTUZdtQW5HKI1/Qc6u6FW5ZD3CLLcsDH/KI8sAjHlIuWzzE5lrX3naJXxLcuNv5Fre4xRKInDfPD9ftUc7/WQ88crq57H8RuNXtDij8XHj+eWX7HXeeodlMEDjs8AeUH57248Vpuuus07BvJuJvMDH3XjxH4q+fe/NywaK/7WD8jYaBxp27J/hwdzhTu9yQFwX3DSbATLhDgKlvdMYVxT/4wQ+6GV+OSed6YmaZfQflwLvcrfBz0QXnl+vssONgFDUbpQTXwS9WHlyVxh0GOXWONQl6p5zqwwUr+pBcR9a4bdzVK+d57kjnhymPr371q+VrX/tadwUk6/GASk9Jt8bNDjHcDJg+u+iSy8p22+8YJisNr2l+cmNBgBHHT3/2i8WErv+9y35j4X1T4PPiRX+71rW3W1pKIDbe5S536e6x50OMe8hDHpKeorcpYLCxyGCXh8jVoM35yle+0s22kDNyr3vdq5tNpj3jgy7JG/HLRIzqL7rk0qbG/fvf/3556UtfWs47bzEPbXEWgNkcjrZdSfu2YLPTqYi/+V/TdVKMEiciRSGMpgdgjAb58Y9/fHeCDz0bvudCmOc85znd2gyAsCbM/3ZKh9/tGb07L55gx8k/rMEDNOsc3K97zDHHdCAzmt9pp5260bwuNqjxq6xEaCupQ1POkl0ZkLbc1h0l5USYgKPvhVE38vHxsg/FV7Ra+VX2rGS3WZnqoXp+lXXK9356SLrqswd9j+zgCF0rOzTgScmTK8FX/NopK+gLKyWQ+WUGbMFPHw7xBZ6J+PVTZcgue/eyRxeIqKMrW/EYD+VXdLXkosRF8cz/8v8ooQ6/skmtsiH5rJVd9uDrkc9BB36sX0m+llhDPdKp9QUwwbbsTgz5Gxh7f4OPDF9oRPag570v1HzX2pyS9IiPBHL4Y2aSEzrhG7rSkXxOMkpXWazx/MrfJKePs9GlJooDEb7Sn8U3813ZiRJ1fQZ4FBsz35Uv1Pgd6m9qkH2skd1gQyS+Mpi0U+8PfOADy7777ts16pJpSKyhvj7flZ7+8i//srs2/OlPf3o59dRTu+2qJANSpnqiuFWTfcErCyNQIo91RO3LjNa+eccmdLCfeffddy9vf/vbu14No/jf+73f627Rucc97tE1xsoU9QGCv5Wcwe/UjZB3vetdCzfzkHn7xS9+sXzuc5/rHON3f/d3y/7779+N9JW5zTvi1yZ6aA1Ryoxkjxp3FOQDh23wfDKJOkfIaQ9m6JIcFsuQyx/YoISKKNHG4yvnk0N7OSJ+FXQlh2/cqUt6sUFT+vHb1xQsMn791ifoayuYxwR6Hvex+Eb8KghFOlTw8Bms0mFkD9a2fOMu+7WNnGSP7EENRSu+Gb/Wd/ldP8ihBDnbuGf8Up75guyx5rvWhlSPt9OaruA7ijVKvPT4Zr4gzL2/Wdx9AJZ8diRnO3JRA5fxa2ONdENDxd5/6ocvRonKom71Bdlv5LvycS+7tl1l+Ea+m+GrmBrFIOndN+5au/dxYOpYE/mbbhW0/sMOARrzz3/+891OKrLsmXq/7W1vWziFTu2QjXk1e9AgqRbLZVv8T+NNdj/L0vvss0/3wxK0bFyJwD7WqDyNNT5TVZl8UXmUHCFjtBmA/G6n4llPZ4StPY9ZZqBtfL3D0WtmVkBT9mxrYsqEn7e+9a3d1jam7ElQgZ4MN8u8zDKBo3LV4TFRAIxo2GBqZdHoxdclJ63V5UdFGY2MX+Fek93Tl2N6fjUia5WdeiLbkh1ZrMbgm/Gb2Zy135X6guU3GsFmsus9K/sYfDPftY285avGb81+I13VfFffeXwznSDH0FgjzGr8iv5KbcsGZFtXjV8vO3GMRuPFL37xUhXErXve857dAGYlscb7Yl+siWJQDccsNkb2OyTWRP42lS9kNmcbdU29s57OdDgXl2nq3S4ja0v30NhoZfftWIQvW7+f9rSndXkYrOPTyD/ucY/rrpiloxDFjSGxZlXW3BlBM43+7Gc/u2tkyTKkF3W3u91t2TRFSwEOL4B32WWXbsqe2QB6XUylfOADH+im7G9961t30/ask8yflSFge6grq2l+e0ZgRgAEGB2SREcsY4cQI0eC+vxZfQSIZ1zVyhIvl5Yxat577727GWUuL1Mu1+pz8r8UaMBZYycX49hjj+3aMPgh8ZKG3i6NtfC1Ko07vQoadUbv9Dpg9L73ve+qAIcyDjrooG5NH6XRC2O6/sQTT+xG+azXM3UfjTBbgNpcn0V/dr1uc8VhlntGYAoEWK5k2pc1VnyLUdvLX/7yroGZP6uHAMse3/nOd8pJJ53UtRMcOKSpdx1sla3rrx5Xv62ZwenrXve67ucP/uAPup8XvehF5d3vfnfXuI/9rMrFMQBJw/qsZz0r5MtPWeohTR9GL2Xfac8mMwPRlD2nB+FQNsver1f20c9oj+F3Stlb+RLtiAdf1/nnn18e+chHdrMvTBf6zxjZqWMI7T59qJ6srsx+MicZg2NNjpqOIxxb7L1P9mg5oE/uKXRSs4f1pfdWe2j1xdbnrR3rdxKzPvnJT3YjRq3HW/202mKfPaymbQ2h3WpbU/GrQ2xYCmZWl0EfS7kkabMEwvkpynoXzWwQU9PJFLGGGYOTTz65/M3f/E0Xc8lZI6+MPfR9vlOzyQUdf6lK7AH2PmFGR+R5gZRFCiGdWMSRj/xEJ3Ip+1znPqs+6CnhIaLh12Og5/mlTFP2KBDQOHiAg3GY7iDDnu/J5KfnrANqVBcO5xM9lMHqp6jhR/S9gyrr364r8bt6h152DGsIvjZg2ON9ffKjDmCx5cKd97Qep/rErwLOhz/84a6H+573vKdLZOQTZdxGxmXtQfULa3jwNjcVvvBi67aywxOY2O+t7N6JItuyQUAnAPokl8weRNvLHvELncy2+C6yrcwX1PlVxrzPTI90ZX3BzngJXyXdetkj3+UdbRnyiVVjYo18xNpdzXdrsSbSVR++NlZZe8h8V7JLp/Aq31Pir/yK71p9IeMXGtSFjlpiTQ1f6oySCbNYg1w6utX7YhTLx/qCfBf74gd+WApmRMwSCNuudeAMMyS6xMjTq8Vy1W3jb1+siXZjRP4GP6997WvLC1/4wvKMZzyjGwAddthh5Ygjjug6gUrgtf4mvUdxS7EmnJb3lcgwVVH0vTV6pjue97znLWUZWqf2jbb9u1bv0PcUFDEsprxomJiaZx8hvTey7AGYtS7K99prry7Lnve0zcbTauVLz7e+V5Mx+66mqzH18Q7G8e///u/lX/7lX8orX/nKbn2QEcdUH99JmqreldQDjr6jEpX18c470XutvE1lO1nP3vp0jbc+eaPGrlXWlfpbxkNN9pXyGL0/BCv0qo5WlDy2GnytxTrlI0PsvPaMBpR0PLgJjql3BnMMTGg0yb0iB4usd54h9uuujiG0W9q+oTj7+IA90A4deeSR69weqS2WQ/n09LutcP4DYH7EbbdCRM5oT6Nj6oMfgPTbKngXmhohR417dHY0Atam0yN+NUqmPrYW8MOhEYzg2VL3tre9rZuyZysdB+OQZR99NOqMsOL5Fn51lGHEL7hndUXnPYOJ71HCT8Yv9fM8NKKGTPiSs8Dvd7/73bvO0NFHH92tT9lRnAw04zeioVmBaDZHW5wi/CMa0XYl3lWA9bqqbU9Blohf1ef5RQ5sK7OHSFeSPdo2Kdv2vlCzh6H8qgFRlm6Ue9JiW/Ak7If6rmyuNdZkem/hF5qKQ0Ntq2YPil+2Lrt92NPIZG/1XdXbEms0qGqJNciSxYco1lDGyDKya2zOX6KEHK2+W4s10OUoXxLkNPXOrCyJ1izFcvCZ/dRssRbLI9mzWKPE75bYqLbKXkkNTfCLlm/U6ajFmvV2tnwUCKJOQtZL0Ygoeidy2ux5MugPPvjgLsHvu9/9bre2oYNx2EbHNhW2IHh+sxHyavMrJWYjyxa+7IxC1LhL5qOOOqpLPCGDkwMV6BHrACI9k+Fb41ffDdX7EBotdUV20odvi22J32zk3qqrPtuq6dDqqU/uqWyrNsLIZG/Bt09X64NGK79T2fwYX+jTe02WyLZa7VeyT1FXRJspd+IUs7B04Bj9MiBhnzjr1lFnstaO9PnbascauxusL84OiTWrki2fGdVaKNc6kG6fozFXlj2HGHBxDSN8en2sz2iGQQc/rAUZVosHetr0gunwvOpVr+qODMaInvnMZ5YPfehD3RrQ/JkRmBGYEVjfCKihVta7pt4ZHTP1Thy31zn/5Cc/WdHRretbvtWgt9k17gKRqSSd6nSTm9yk8MMpQWRWsv+RaR5N2dPYcw/3pvxR7/pd73pXl3B4n/vcZ0ncRzziEd02DU4ZnLcUbspWMMs2I7D2EGDQwXIq6+lMvfM7M7BkvROb5/NMYp0t+PR/rR9F5ZRF2wVU7qdfonKt2dlpBbGm5z0Nnq3RUJ1WxKwuZQt7WaiDq2UZ0XOYAFM9mrJnHeRWi1fSMprnmT5++b4mu6ar7DRQxm9Wl8rHym6xEr7MTrAtg/OMpQPKHvzgB3fJiRy2QZKK5almD5aG+BT+Q2S3evfmW7MHveftISq3skQ0WvDN7FRrc5H/WHscYr+t/Fq8/ZTk1H6VxYdMj32xRlnYES5RrPG6GmNzffjq+6G6Git7LQYO8QXZXEuc7ZO9xRcyu+6LZzYu8DtnvTNK51A0Tb1zGBqDMc4LYK1aO1eEi/U3b/ND2piWOLCWY82C3SYBKHZLh4CmXJd7RJnv2fYJygHTbi3TVgVlAtrpbp7VBRseYCUc2OfFr561hqH67VY0ntfWIG0nsjJq2wYHHHAoDg061/xxxC1JZiSXcSAOW+z4H+Pifb/lQXzxnR3pSnb4tRdEyOBr2wCp0wY00UAea8AqB0u73c0+ry10Fi/KeIfeMB8ySnmHchr2Rz/60d1uAsnKsxm/kT1IdtmR9Ghty2/Pg79se5W2ofhti9KrHBxZtAUx2won2/K20uoL4tfrysuuwG3txPIre9CWxcwXPL92Kw+8KLFSAU3bPqX3jF/pXdhaH5FPe13JHvzMjhoEJSB62SPf7bMtHe9pg7m2vFlfULJXFGsy26LOmj3wvdeV6o9io2zOvlPzXcWFyBf67MHGRsmOnC2xRv42NNbIn6NYgx59rLE2b31X78M36+Xs0OGCHeIvSWPKh+KYcabi4ZMYpTP5rS/0xRpwaok1Ssj0cTaKNT7ODvXdWqyJ+KVe+bvVlZV9wWf0KTD5ZAQUAQNRdh6EoqxIyv2FBpRRN+X8b+moJ68LYDwwyrK35Rm/cipfFzQAgHKfRUq9NiuSxpstYPycccYZS8fcsmUBI6ORpwdpzyG2wSriV/tEvexSYCZ7hq9yAiwmUrDXFQaNzNCwzqB3rS7Eh3UCW586Dxm/ugHL8kX9uuzA0pIMnl+cCf1GNPguwlf8ersGX2TP7Dfit9UXxG+kK2jrYA2LScbvGHwjfmXvwtjafI1f+UK0s4E6PY4131XW79BYU/MFeMYebEATnpEvQFPZ3NbmarZFfZk96DurQ8WayLZkc1HmdIvv9vE7VayBDnJE8SHiF/nAN4o1irO+rsx3WSdnWZQlUQ6c0XklNOzEWFuPjZ+RruRvPs5msbEP30j2zHepS3HWt2E128Kmo3Y3wlcd7lqs2WzX3CPQszKcl+l61uDvfOc7L03Zf/CDH+yO1CWZg4Z+XvtpQXV+dkZgRmBzRcDO8JD1zlo6jTqjcWZFyXpn4KSOPSP0rGO+uWLYJ/fcuPchtPi9pt4xLvbCc94v6+9k2ZNdr7PslWWPcWYj2gHk5kdmBGYEZgQ2WQSIjZxeyumh5DVxwBizpJp65zQ5+9H6/SYLyCoJNjfuI4Gl50nPku1yTCexPqQpJabs2Z7Bjz2UYCSp+bUZgRmBGYFNAgGuWdVV3cRNZb0TK6PlzU1C6A0kxNy4rwB4JatgoFw/qyl7sjvZF3788cd3Rx/yoyx7JTmtgOz86ozAjMCMwJpHgFindXKm3omL7EJi1M7sJnenM0DSdLuSZKP8hDUv7BpkcIE1DpsNqww8ZWGLZ2Xa8rfNsuZvZVr7DEtln/usSJ5HkXxvt3xEmeeir4s/ooxmnvH8KvPe8qpseRIUkDvKtFbSmcVE2aY2W1I4WNkxUs6r56hWTr9jDYmrZ0844YTOiFmbZ1qfbHz4tVn2Eb+SXTh5fKUrJenxvLLPsyx6ye6zRWv4IrefGlNGs7cFeIj4VcY6/1u9Z/wKX3s5g/WfFn6hgb6VYet5hh8lcYmGMsZlM5E9eF+Q/fr6JTt0vOySrwXfTHbvu9DVbhhldOsykT7bku/atVGb6ex9QfbgY5z0q90XQ2JNny8o+cnryvuubC2LNWNsC5qRrjyu4k3+Zt+RbWWxRs9aO8psS/7m7Ze6FV98nB2LrxK+arFRz/A/jTjLlsRBTb0rQZktt0zPowO22FrbasG3JdaonfCx0cZy77vw1ecLXrc8j96Ry3+ytrKv3fX+Vouz0IaHBZ+k0Jd9PmW2vO+hqaGfKlseA8+y5ZEjy5aPzhLHIIZmc7MXnG10jNjPPvvsbrqeaXuun+WaQRp59pKTjGeDQMSvvp8qW16Zy1m2vN/KNGU2t3ZIeL2PzWBtyZbHtjbHbHnd7YAe7U4Q2zFpsS3qGZst3xJrMl8Ymy3vba4vO7o1Wz7jN9spAP7rK1s+2jlSw3dMtryNs1wXTcwjF+nSSy/tbuBkZpMbOZl6t42hzWavxRoav5adOdnuFA3UhsZyxd/WbHntFFjWui8WtOzMUac84pe6I9+FNjQW/JYSNe5DyzVa1HtWmNa6sudXi8ZQGYfw5ZVIzwmAmY7nR1P27JXnxjUSSVhnIsue7zWLEG3xmQpHW0+L7MJ/iG6n1JWtKxoRZja3FvhdK/iKjwirKXU1xEdaMFltfjdm21pLvkDc0mBIWe9ctcqolbj2gAc8oDvr3TZONNQ06pE9rAXfXUv4rsSv5jX3qGs1UZmd4lGWPZmgZNlz3zANPb1bsuxp5DkbObtpbCKW5mpmBGYEZgQmQ4BGnMacE+Q09c4InR9GkPa898mIzhUNQmBu3AfBNN1D9MRYd+JKwrve9a7rZNlzGx3b7Lh+1k7ZT0d9rmlGYEZgRmAcAnYp74ILLli6ZpWz3pl6J0FOU+9Q4HQ5HcY0juL81koQWNa409uKpoYpt8lvlmjtHb+Gy3s2i9LWo3XBSCC/XqhnWvmFBvJFfNVoRDxl9fBsVhffKdFFWfY08mSRknxClv2nP/3pzkl0ME621tTKr7DKTp/KMImS5vp0FdHI9B7RBacx+FJXxG9mJ9JVhkmLL4jf6J2a7FPhG8koe8+We1p9N3u+Zg81f2vBV7rK3mmJNX22ldlDFpuy2LghY41PmrUxsxbLI9mZVsdONfVO/hBLj8xE3uMe9+gGJDZXSfXPsWZdi8FGW2NNFB+GxJoFbkLz2Y+wYzPJ+ZtndISnN3CSFLzTQ5xMyKj8pz/96dL5zT5bvpUGtIfyC0/QI8mDaXHbEIjfKAjzDj82K30MJtR9ySWXdPzqjG4paY899ig77LBD5zzcSvepT32qHHvssd16FdP2nI6nixJ0hrTOgfYNWsQvdHhPsnvHz3TYgq/sIqoLelwnC4bo39qczvtfKb7IGPFLOR0qzqy29l7jV3VJPz5zGZ6H8ksdyE7GuO4jUOdFmbtT+JuXXfbO1Cm8ktzpd5XUfNf7gmyoxRd4B5sDP3JQVjPWqINhaSjWaMeHdD4mno3xBWTn6Gq/Myfy3TH4Ik/mb8JdsaZFdrDUevrll1/exUum3n/4wx925XvuuWeXM8SZHsQf9qwLH/kO/sZ7tjNWaxfG4NsXa8jYt22MYqNPms7sIWsXarEGvKX3oW1lJnvW9mR6h6+LL774t7vB2JZlPzrA3guv7RPRHsQsQUKNu++pEGBgAto2aGo7TZSRr8P7fV2t/EIDo4O27+lbh7OY2MbHlsM772SYKFNZ7yAzvV3ei2RnKp5peX5wFhp5XUG70047ddn3bLPTYQ8YbjQyyPjFgHBUaHscM3y1xcfnAvTZQyQ7/IKVtzlts4wymlvwlcGDb3RGM9h72rwzlW3JHqJkIXCnYff0p8JXHUbsQb6rxkIzPOzi8J1pXejiR8O68MP7SI3f7O4JAh20vV+3+i4yKlHV81vzXWzd+1ur7wpf/m/xBcnu39nQsQY9RnELvnTzI+e762AuBiVMvR9++OHdsuJ2223XxTFtMfV1UT/+vqFiDZ067M3rfUysyXSV+QK+Q4eaPCv/aY01fW1PLdYssDXLN2Q4TjR1AGNZQxaVI3y03Yz6CXYYiP9kZwhntNVRaOEXQ2WU7ANE1AuEv1ovvxUT7a2NZLd1MZLn55BDDul6zPx85jOf6f6nkWfKfuedd16GX41fdWyQPTK6SIfathJNebbKjsGzxOBtbkp8M36xKwKRp63GPZJ9jG1lmNChROfe4afEN+MX2Qh022677WC9Z76QjXzU8EYdc0YS4O6/G4NvFh8yfvFxGpk+f7PA1GINz7X4AjM2+FvUSYqWOKb0haGxxsoOjsxuqVEHbw6cYVBBo+6XCOkIRHF+Q8cadE5n2ut9DL41X6A+r1vsB/pTxZqsHa3FGnx92Zp75nDqQUStiQKUbyxVlxfeH1KgOhU4MhrU5+tq5Ve0o+l/TXf7Dol6e9FUTrZ2RXnEbyZ7hi89T5LvOBzn1FNP7U554lAcfjj6lvIb3/jG6+CS8asp2SjJJeNX70Q6rMme0YjemRLfGr/R2hW2JrvLZpii8kgOTf1qD7W1Yz8trO+mxDfyBdlbJHuN35ovUGc0s5fZQ032aCAxNtaA6VC+Mp767CFq3Gv8qjGJ4lbE75S+0BJr6Ph+5zvf6fJ+SIQj7tCgM4hgkKFBg4/Nm0OsqflC1LhnuPfZVuYLUVs1JNbM2fLh2HdtFeJ49JhpxPkhO5VDcTijmUQ81r3233//pSx7AlwWaNeWZDM3MwIzAusbARoRzaKQ9c5sILGEaXhmAzlwhvV0O/K0p42ub35neuMQWNa4o3g/AqfqrLz2Xe2diN0padTkEM+eh1bZx/CbqamvLvuesuwZ0X/729/uGnqunyUJj5PxyLRnfSySb4zsU+mqVfY+TDI7zfidin6fnUR81XCfCt+Ir4wX67ct/t4new3jlfrbWog1rboa428t+uiLzRm/nLXBsbDsUafhZhaQrWzsS4+24bbqXTK0yFLzmzHftehqU4s1yL6gaUEBoSQXDwzPae3Bf0e5ttzY77TmY6ekAFHTWJ62krSUOWjrUlm0dhUpMeNXU7DRudLQiKZUKKc+Pz2rpJxoDS7iV7Jrqs5OldbwVUKHNXB+ZzTPMbZMnTFlz6l3nGXP2jxn2TNlv9deey3lSUg+1TcEX+HknQuclDAZ2YOfYpLsmsazstfwrdkcdKOkyGhaXBnDmW15fqm71RdkD94XqFu2HflbxK+ez2xrCL/W3mT3dkYn41eyR74ge/C+UPNd2YqfMm/FF77QX/Re5Ls1m0P2mm1F+Mp2vC/UfFey+3dqsSZa0hoba6xvkmTGnRcs7dG4s16ua1Zp1NEpeTGs5Xr9ZvxK9ijRWbJHdbX4bs0XZAuWhvytNdZk8Uyxwy9tZbFxNWJN1vZksaabyrfBRqDof9/4qFH2QgpE3/hoHZdyvQMzNtD4YKO6os6FF1DOG/Er2lovUQ9X8qqxFl+qi+dsUFPd4tnKrnUPS8PS8fxKdtGwskf8CgOLo8rgCyfE6ZhiY8scU/Znnnlm1yNnNM+UPQfjKMu+S7JYnLK36zWqL+q8WFx9oBceXnbqo8xvz9PWO8licbf24PFttQfxOVSHGb+ZL9gGw2MiXP2SiLWhyN8ifagDmOHrtzJG/Fr9UV9EJ7Mtyq1PyK4zXWX2K9/3/lOLNTVfyGKNcIr0HullDL6iEW09zezU0h4aa6I4m8Ua2a+PNbrHATzOO++8btqd6XfOfd9ll13KPe95z26GT0m5xBJ1IGy89nHT2p3sI9OtMKYOL7vv7PTFmgzfKC7X2pharJHd2bbH2qlvS/pizdDY2NfuRjKqDYFG1O7yzoLPEuZBfqLElGxbEoSyC2X8liiehaa2z1kgZQBZXaT9Rw18xi/PRgfu45yMeqNRkbYNWb4oA8QooxraEb/IEvFLHQAfbaeJ+BUfGSaWX95nPzw/TNmffPLJ5ctf/nL5t3/7t+6YW3rpnPfMHtXoE/ErZ/b8Il+NX+T0Dpxd5jAGX/hv4bcz9sWOTXadZMRv5gvUk/lCZg+Z7DV8s7rkQ1GA9L4gPclOIpsfYluyFwXO7CKWqC5oUt4SazLbQp6WQ52gqe1+3ubH4Cu7s3VhWxm/kj06VnqqWJP5AucaMEon+53sbabe2cpG9rvHULoB39pFQt5+sOtoWx14KM56O81i42rEGo+7OgktsRx8I13V+AWXzK9aYg22lW1bzNpdxZpla+5+VC4jVs8/ahT0XaTEqL6V0PD0W+vS8xlfU5Srpzq17EPxxRiufe1rd9Pyt7vd7bozn3Hyz3/+812ninV6EvBwcjlrpt/Wciu759f24H2nrgX3PnxbcK/xO8a2Ml9YDdkjexjqHzUM+Y6gEgXAMfZQk70WTzZ0rBmCbx+OU+m9Fn+hoUEPybf4N/5O555GnGU74gCdfn2UpBvZC7SGxpqaPUj2Kerq88U51qyrSfCas+WjCLIJlGk9EaenEeeHnvwxxxxTTjvttC6R5vrXv37XyDOiZ/915CCbABSzCBUEpPO3vOUt3UVGbH960pOe1M1ycJDSK17xiu7/+9///t2ob7aRtWdOdMJ06BUzdUzD49sHHXRQN/XOEbH2E00Xrz2pZo5WisDcuK8UwY3ofabkOceegx3o3ZOApyx7zoamoWeNfv5sHghoWvoNb3hDecc73lGe/vSnl/e+973dFO6znvWs8pznPKdLurrb3e5WXvziF3drtbe97W27Jar5szYQYE86fsxZ78zKKeudI6vRo+6xWBvczlysTwQW/HRHNm2t6ZeW6dPoHSVrRHSG0Fgpv5ZuVFc0zZTx1crvSmXPptCGysHaI9teGKXTkDNdpyl7AsRJJ53UJeYxhUeQYL2KaftoZ8FKZB/KbysNO0U6lEbfO/reYt9qD2P0PlZ2y6/oivcIExpqRutvf/vbu21Q7HXm/HASrzgXnIuMOOmL3z/ykY90jXsLJhZf/95qx5o+2n1LDCuNNX221RJrqEt5UGS0c+AMPkvjztou+9LRjQ6c4Xka9ynjbAu/G1ucHetvLZj02UOLXw3hd0FZklRMMCD4+2DEd9ryEE3LqXfos/YoV+a0AgzTxDQWlPO9zxiPtmnxrp712+pE24Mc8Qt/KkdOn1mrLSC+XFsbomDJOxkm1GP5lexWHuFSwxdepR89D80WfvU8dHB6HX3JdD3b5biwht4/59mTbc/6HHvmycDfcccdlzJp5bTIlm1lkk3Z5Ed+1zYm4SmZ+vD1sg+xB9/IyRatvQvLiF/5gpJmbKBXUo7PWOeZyBd4TvZubV46iQJwK76R7wpz8av/LT1si9wMyv7qr/6qvOtd7yrve9/7uoOSWK+VbXO2Atuo4Mv6nDAUv1HCq96xWeaS3TfAfbFGNhfFGiX7ST75G3bnY410lfku31tZLL8+CNd8N8KrxXd5VklhXEDzve99r8t6Z+odnXAjGz7MuRbgq7srpHvJaeNsjV/w5RPJ7vGFN21jtbFR8vGdDr+RTvSdj401fFt9wcYar3dt6Rsay+VXSvr18Vd/e/nAWHFbzyhuRbZVa3eVEW9jUF+sQY8LusrPMo1A0RGsyvy0zMrQowxLGKAe3yArg9XeEkU92n6TZZ/zvA8eCvxR9jmK9XUpa5ry6DhZz68MPcqWF9hD+QVXyRzJHvFbw1e8eTnAu5bBCr8WR55n1HajG92om4JlPZ6EnI9+9KPluOOO6xp5RvP2YBwZXCa7twcFKeT2smf8Ct8oO5rvInuIsrnVqcuy5bO6FPijjNsI34xf+VMke5ZxO8YXoGN9l99tlry3bRssePapT31ql3/xmte8pjzhCU/ofEfYg4F2J1Ae+Rt1ZNnykt3HDuSPYk0tW74l1sCndOWDI7wM9V3Lt080VAPeIju8oBsvu+xXdfEcMymspdOo43fMqnGKHGdZwAvyyVbFm/xNtm1lr/HLcxm+Eb+1WKOMcR+ztVvIZ95nOzFafaEWa7Ls/losR/dZtnyUeGrbmKitbGnH1BHLdvlEcXadbPmo9+rL9Hf2rAKLFUZl0Tu2M+F/r/ET8RXRVqNfk2OojDU5arTFg1dwJHvGry2vYe9pZHxldNRjZ42VkRzT9kzZM1XPedP8EExo5BkpaB9ti668bUS2MlSOIfYY0Wux3yE2FPGb6b2P56G+0+dXVsbMxsUjQYMpeWZo0PvDH/7wQnIdQYWMaqaANS3PSFGdzaG+Y2196DtD5Gupayp/69NfFudaYqM6TWDPTBqdbKbe6WQx9c6hVTbrHdlo3KPbwcb4Wx9WLfG35j+tMbvv+aFtzJA4OzRej40PLfaQ+QKdkT4/mRPqMk1u5uUYDiMEfjgYhwNxOAhDWfas17M+z5T9/Nl4EWBEwg2Nf/7nf16e8pSndJ04Om80IiRX/smf/EmXdX300UeXf/qnf9p4Bd1IOCfrHT9jeUxT7+xSIC+CRNhaI7aRiDizuZ4QmBv39QT0xkqGUQFBnh+CPKMJEnlItDr22GO7KXsa+jnLfuPTsNbtnvzkJ3edNLZJ0pmjkafRJ0OeBp0DkP7mb/6mO+kwOr5345N8bXBsp6UZnTP1TueZUTuzZJz1zoyKpmSzvelrQ5qZi7WGwNy4rzWNrDF+1AAQYLgGkul6HYzDvmim7Tkcx07ZZyeIrTHRZnYWEdBa40Me8pDCjz4k+HAPOY26/di12xnA8QiwVspZ7yTIMfXO3RAsibEvnc6yP0Vyxn081pvrmwvKrgQApnyUCWszxvlOC/sRUKrDr/VR7i9nqGWw1rIild2eZbB6flWX5Rf+JAe9YNapbJajMjt5xpbb7O4sY9HjQl3ZToEogzXi1wZarbGoDFmgAR5ejohfnqdcGaw+0zvDV9vgoC/ZeZfkO0brbJn62te+tk6WPQGKaURGg1anypb3GePKuEW2IfhKdh37aTGJ+NXzkt0Hykx24Rv5QpbBmvmCMra9v0X8Ik+fPUSya+eG+JW9K0teOEt+2aFdv9Pv8l0lfKk884XMd+EhsjnFGv5viTXZzpzIF7BT3b+QZctn8SzDVzbqE9SUs+Lrk+zIKSzZiUByHPc/cOUq5weQyIrf0KGKdhJJV0P5VZxtjTUt+Eq3OvfAx0zlbfhdElFsVHxSnBmKb+RvypZHFq93+UJLrKGtUCJeS6zhvahdGOK7es+2u1HcitoFxZoF3zDoYVsOIW2dis5IVvajb9yVNegbZGUe6hITCSLF1mj4ujJ+tfXD1gV/vA99RqKWvoKMMkKtoSpIekwyflWXP/ucchm6lz3iV7jU8B3Kr3TD8+LLO1DEr5zAy67Gjbvk+SE4sS6vLHtupmPKnqlcJQBp37zHXXppwRf6Q/lVEJLs3kmU8ertt+YLOq/cd0b4OzpDXXry/pbhq3pX4gvCFZu3P55nn4xlfcHvdFHHo0VXwn2KWCO9R7Em8gXtEJgq1iC/lz3zXXjkWa5Q5RlG55p6p9Eht+G+971vN/Wu7Hg1Rn4X05jYOCbW1PCNBhKR70o3et437i2+axvhlrZHtuD1Lj9osV9057PlJSN68XatQV3Grz9bnrqyWJPxa/3Q+8KS7H6bAn9LYb7XoYYxK7dEeEaMRVseIhrq0fjnx9Sld6K6bNCzstgA6MsB32OlslZ+o7pq/Ar3DN9IhxENq9vonUi/GuH759XhEU5M2SvLngM2GM2zNq8se74j65qb6YbyOyW+fXYt3Xu913whswfRsnXVbC7SVZ8vYHNDfRfakRwW3xbfla1a+Wr81mSfOtYMxaTPtjJ8I9lrvksnED9gpM7uE6beWdZiZoup9wj3DR1rMl+IMFHDneGe4dgSa/p8IeI3szl1klYzlsv/a+3CUDtV56bGr7chyT6vuS+bOJkLVoIAhkUWPcdfku3L1CM/b37zm7vLbMjCJrjx+/yZEdhUEWC5igb9xBNPLJdddll3RgR705l6v851rtOJ7ZftNlUsZrk2DAJz475hcN+kqbIOxrQid0Vzb/Sd73znLsv+hBNO6I4wJQGPkYuy7P3U2SYNzizcJoeAnbK1We9MsXM2wAMe8ICus2uXa5Tfs8mBMQu0ZhBY1rhrCs9zmJXzXOs7fhpBtKamEdFRWfbdFOU1TDLNr2XZI577+LXvaCqSm6q4W5q1R5tlTyNPgp5fo+qjUdNvZL+t2I+x6z6eh/LVV89QO818zdro0LrG+Lr17aExZSrZxe8Y+22xLQ76YV86I3VlvZNrgl0zpczpjyuVfQwmrfY+Rr81H8nw73tnKFZ9cXYKu+7DJLOtVuxXI9YskFlnE2yUceuTjpS15+f+EULveDCVWeuTcnS2vKetjNtorULnf/vvWvmFBj+8549+FF++3J6fbJUGRtlZ+MqC9rJrn7CXfSy+vDeUX+lDZ9JbWSJ++T7LAhaGmT3wrv0O20BmkoiYlr/Tne7UTdcTEDnLXtfP7rvvvkvTltCOeBVf4O/tIbrkBto6Wz6SRxnCXpZW24KfyBegj560W8H6VsQv8rXia/3QJoNCVzav36X3jF/VpcScyE68r9d81/qbl526W2KN/M3TB3fPL89ksabPd739yuaoU51Qlp2wXQ6d4cIdnfXO1PtOO+3UwXbKKad0W958kmUt1oCXl0+6ivwtizXa9dMSa3R2v6eT8au4lcX+1ljjbUG+UIuzUazJ/K0Wy7NYE9mWjUG+IV+NWJPZg+8U8Ld8sbsVzgYD62y23D4XKcCXQSR6J2LSBhv7TtT7sXRUl8rsd6rHP+/L+2SUHJbHPn6t7Cvh13ck7N81fD0OvGdxb8Urkz0KzBnPMjq2h3ArnQ7Guctd7tJN2TOS5xQ0DlLRlD0NPnvmCTTabiNZMtuKZPd2lNlvZCvexjLcI78R3cxO++y3hq/3k8hOfVlGL/LdSI99/Ea+6+3O+1uLXwmPjF9v12P4tTQsHWXdY7802CTJcW0yjYXuZKBjStKoOg4ejyGxJrOjyGc9dpH9RvhmOGa0x8aamo9Gusp8N4rltRictTF9bU/kb1n8r5VnmHuebXzIYnZfPIt8QWXdVjj/gfHoMhKCbPQ8lWUXMFCP7wXaLVFREIkOyYeG3/pkwfH8KsPS1yUnhV8/6oOG3/IADTUukex8H/Gr7Wtedq0vD+VXBpfh28IveoWf7GKICF8ZsZcdrPgu05Xf7oEcyOwvL1GSHdvmmLInaDISYksdB+NQTtCMLuto4be2PQVZIn7VkWjxBd6pXSDi65oS34hfZSsrozga+bXYljppkT1kvgBN8B0aazLfpX6+a+EXmrK7ZYEu8d3IHlgj5/Q47PO0007rGnGuWOXHn/UORpIV/CPZp4w1WWysxZrMd6NtoYpBUayhTGfbW3ypn++iWJPFxil9AdrSveVrTCzPdJXxq61zLbGxFmsifGvtwpLs3uCjUY0q6vsu6hlF7/TVEzlhNCqIelpZ78iWZ+/VaGRyjJGlRT6LfQu+NdzVMPuOVYuMGVY1fiO5KdNBR1w9yw9TnMqyZ9qTffQEUUb0Nsu+ld+MvmSp9exbsIrwncrm+uxhqD/belbbHmqyrw9faKWBHcgWOGSGbZ2aet9tt926Y2Ft1ruWHbKTGVvttOX5vtjcKnvNF1r40rOrbVsZv6vhb5FvtbRvrb5b063krsWaOVs+i/hz+XpFQAeBQJQTuwigZNmzJk9w1Vn23IxFohLPRLkZ65XpmdgmiwCJcbooSQfOcHc6s0mM2n1nb5MFYhZso0VgWeMeHcCBdNFBAZK69R3bM7bI9dGIphRbaev5rK6sPOqhaZo70n4mix8dWgwj2sI+ei+jQXnE75Syj9FVTe8RvxyMc+CBB3Y/BFumRJmuZ32edc473OEO3eletpHvk71FV622JXuIdNUq+xh8I35lUxlPrTLWbDT7LvOTVtpjfCHDPeKJ9XQOYOLgJe5QJzeEjiQ/mnq3ndAhvluTfa3GmtbYWIvLrXVlcavV7lr9bUwsX+uxZoFtHBZQZUtGa8JMn0a3QrEepfds8FRGulUMIOJEfOdpw4cyDX0Qhka0xtrKLzR4hwxWv79aWZF+RKjziP0aiviNMMlk11nIXnaCxhh8o3Uw8WuPsAR35JbsPthn/CoTF9mtnQjHofYAPWTn42Xvw5eREqd5MT3P9bOM5Jm2Zw2UoEv2/X777dddiakMe2u/1uauuOKKZe17Zr+ttkXFOpPdE5G9e5tTJnO0hq1z0aO6In/z/Gp93N6n4JdTar4b2Rb8al3Wj14j35XdgTvvTRFrbHKleIh8txZrtF6KjEy9M0Okqfftt9++HHLIId0yEGc1qB7Zr9dVzXflb95/1nKsQcdRfIjsQbLb2NgXa7JYPpUvQF+7VobGmj7fzXwBe7b2oDiH3qeMNdH6feS7kr07D5/1TetwchzfwGk7jW/0AUVrpt4gdP64bdz5nYYV4aFhe8LwEW3t6qPB91FyXFQXNACdbSw6OlEBIuKX7zLZW/lFdk6rUoCdQvaoxyl+ozOPwR6de12hQz9a5Bk13tHZ3C26kuw4m7bkCfcMR18OP8jEiJ2rSUnAI9P+/e9/f/nYxz7WjebZakeDz/qnLoRRsJHsvrGs2W9kW32+ECXNcWc6dLA9629q8Ibab4svgDk6ItDh7Jya5rdFZbJH9gDtLD4gU5ZYBe7S3UpjDbYTJeZF/NpYw+820Qk8OA6WzHdG6WCETXFMMlva6CjyPDYmnmuyZ76A7NzR7v2nFmugt1J7kL+hM+pbrVgT+S66Rr5arEG+qL1oieWZL9RiTavvikY0kxbZg2IN/k6cbYk1tVg+tN2FT8WaBX/AQm20wndRpqpOJItGGFG2/EUXXdQpnq1OvvdPXVFiypiRe8Qvxogz77HHHsscqLU3rd5ehkk000CnAh5YM7Yf7U1sxbc2cve9PQLg6aefHp5pPbY3nfEbZZ+fddZZnW4ZGdlPNnKv4cuIitH6YYcd1gVoLuRgaxK/sy5KB4CGXh1L5IO+v0pTNCJ+p/QFcOfYUS4RsZ++0UoLvhG/2BozHyxxeH+r4Zv5Qm3knvkuPJCI5v16DL7ZneYZv8QaOlRsveTDc9gJSzs07ky9YyskbDIzVOs86YyEaOSexUZkp7Pp31mrsQZ8owz3jN9o5C4MN2SsYYYPu58i1tR8wY/c5VPQnyrW4HPZyD2KD3QS6JwuW3OP1jzU++v7zvfE/BSgglpreY1+H0++wyHa0XutfGXP9/HbQtvWNRW+0J+qrmVd08UC4bKaNBRo6dzQiPNDT5mpVabs3/jGN3aNmS7poHHLtjLW+K3JV7Ot1ZS9hd/MP6xdrS97iPBqwXeMLxAUCc408tgGP4ykGZ1zNDInyemsd/GiWYBIh2P5zWxlpeVzrPntOS3rw99adBXZSZ/9ttiWbccy2eds+UwLc/lGhwCzIVzOccABB5STTz65S77jYJxPf/rT3Wie2Zpo9LrRCTozPBgBznrnLgNmbVgSohPITgx7zergyuYHZwQ2IgTmxn0jUtbMaj8CjOjZC7///vt3U61MvTJlz2ieLGimZPmOID9vpevHc2N5gtGL1iWZWkbP7K5gmYblAGyBrHdNvSNXNsW/scg88zkjUENgbtxn+9jkENAaFevtmrJnDey4447rcg7e9KY3LU3ZcxgJ667zZ+NGgOl38lnYQUFnjt+ZpbnrXe/ajdJJlrOf2nLFxo3EzP2MwG8RWKD3KkO3Wwh06YCA0naayClsVrKe15YAn/BFwFUKv97TO9StSzy8gngWHvy2Om158PwqQc3yqyxOgn+3VWDxOFQru65h9OW6bMCvsYvfDBPPL7xLPi+7ElNa8aVOnxUf8assTsnu92hm+GornN/GFOErnUX2AD1d/mBlV0a+9Gflr+GrbVfeHiJ+eYYEEy6rIaGNDHvWXj/4wQ+W//iP/+iOt9WoDnulbtGWzVi+lACIvEP4FfbI7f1tLL5DfAG66En86vIPy3OkK+TKtpZpp4P3BdmD91vpF7n5fUis6bMt6sBHadDhn6l39IlekZVdE4ceemh3zSrfkz3st+m1+q5iI/K1+IL8zb5jY+NqxhrZVmus8WvY4ndMrGEpxO5Koi5sQbs0bHsx1hfA1q47Z7EGWvKFobE8a8fk09TjdSv5kD1qxzy/fe1uFBupN2t3wZbvFqIsPIj55CMFk+xc5+y8cn+WOHVDE0X6vZ8CKaOhM+mjABLxCy1fl90O47cXoCh/sxS0tKUo2ufO90P5Fa7Q8bJra0wrvi38Ql9nXftDIeApwlcBOTrbPcJXDR7P+4YXvKHhZZ8KX2hn/OoMAZKnDjrooHLHO96xOxiHdXmm7Pl/n3326RLwGO2jB3iNtnehK9mvtUU1XNm5+pLdvjMVvjZIWl/A3rWNx/uiAlzku9QX2ZY6DJE9ZL4gm2uJNZFtaeod+ciA55pVpt7Z/UJmNLqzWe/wo73G/pxx6SrzN2+/VmdejprvZrKvj1ijjkNrrIlkz/jV2fIeE8Ua8PWxBptcH7EGnrzsGvi0xvLMFxTLrX2ojWm1razdjbLla767dLa8B56/IRIF/2ivnxo/vWeF1PO+Luq3P9E7vgHP6hrDr+SLZI9k1Ch3DCaR7GqEbG8TZU2Fb8avxWqlslu9D9VVpvcp8e2TXbzaLHv2MjOdy0Emb33rW5cOxmE6d4cddljW+850ZcutbqXvFtsag2/mCxnuNX5r/ibeMr1Hne9M9tZYw3Q76+kcZMTv173udct973vfLmGS7ZERT1GsGeJvkY9Estfq2thiTSu/mexzrFnehlqfXmm7OyTWzGvuy8LBXLC5IUADwfosZ9n/13/9VzeKP+qoo7q94dxKx4iQZ+bPhkOAqXf0wmidkQyzK2xlo1FnFKZlreiwjw3H9Ux5RmDDITA37hsO+5nyGkGA9VgaCBpzTiijMWfKnoNOyLDnh1E83ynLPsqNWCPibPRsKE9HWe/ogcYd/XBxEHqwWe8IrBMvN3rhZwFmBCZCYFnjrimsaGrNTzXqmdZ3WuvRtGb03ljaU9U1RpZId5kca0H2qfjNbLZVh32YZPwOpc+UGdnV/JxzzjmFa2dZl1eWPQefkITnp+yzpSbrJ5FfTYVvhGNmnxbD1fYF0RoaUzhkhox3Run8rql3djawzbGV3ynxba2rVfYpfWGovdvnWunXnh8jeyu+fXFzqM311ZPZ3EpjzUra0D6eF+w53zys7HOfAagkIp7xoxZdhmIB4HdlYNtsSWUjK/te5/MipM1Q9qApM9AnaUX88m6UvQtPypbssgkbs+XFo3gTv5EBwZeSmfS9kk94T4kd+k7TipGx1PBVoofNQrZ123JlS1Of1qZFL8NXGaxDs6OpL+JXslOft7mIX2sPNXx9Jm7EL7LCE3SUCW/rzPClLhpwjrhltMiUPVnZun6WKXtGkkzpwwfPU5f/QF9nvHvZM3wz2xK+3rYi3xVdnadtM4Wt3rPs6Mi2LP82DmS+K5/TThSdcS5+8UF+0AuJcXSiwJm/99prr3K3u92tm3pn1M673M3gExYVazy/yK8see9vffhGmGinS+YLUWwEc9mX9cW+nTlDY01mD2NjjWSMYvmYWMPsi/dRxZohvluLA32xRhcvqY1BpjGxJtNV5Lu23YtiQRZrau2u7vcY0u7aWLPgG0ubCGGN0S7geyJKlvEGYZNybF2iwfOWvhzKJxugxCjBR+/rf0vDvmN7R5aGbeBUh+h4fiW/D2hRopB6VHznDVgYednhMSqzcrTg6/n1WPnGvYZvJHuEr3DO7MFibHVik+Ba8Y106Pm1snm5a/gqGPDOtttu22XZ08jr+lkytT/3uc91U/XKsqcRkoNJFtmz16+1W8+X9beos+DtLvIF1eltzmI8xneFmddVZtNe7/ytnRMXX3zxUtb7j370o64RZ2aETtMNb3jDzifsNlErp7ch77tWtijWRL7b529edmHraUe8+ZgyRaypxca+WGNjk+d3tWLNlHG2z3dtW2bja2ssr7VjfXE2890I36gda213rcwLfh+6Gj+fmKIAFSWs4HzRNhfKo4tjoKmGz54SBm1tk/CgqNw3/H38+i1yoh1txdAWBsuTNYpIduhHZ5ZTFl0cI4fyuGtEE9VVw9fX08cv+EHDGhfvZPiq5xxtG+S7jN+Ihnj1PMuop8A341e6yOw34le2Ze2B5xhJ0qBzy5qun33HO97RXU5Co8SeeX9BjLanRPqCToRvZluyB6/DyBess0eNWattyVYifjPflc1Z2cGOUTrT75z7zsUyZL0z9c6ZBJLFdyIZhWWxJsJW8SfDvcV+1Ti3xEbJ7t+ZMtZkvtsXayJfAN8sPkQYIh8jy6guvou2hWaxsRZrar6QxRpt/bT+OybWZLrqizWttqVOr2375L8t7a7a1g1ycYxvuPU3CvSzAn3fjX0+ei+j31oupWe8RfIPkT0K5q1yiLcp6urD3tNo1fsQTHydNV310Y8wid7RkhJbr5iyZ0TPASpkc3/kIx8pn/nMZ5Yaed1GFs0Y1OxkiOxD+K3ZoGjYhnSIv7XYHPURXLXnl1kPGnSm3pmyJVGRRp3/1WhrCTC6HVI8t9jvlP7WWpd03GKnrfjWbKWV3zH4Zvxu6FjTguMQf2vR4VSxpq/tiXxXtOds+UwLc/mMQAUBGziYStZZ9t/97ne70TwZ3kzZ6/pZGi4OWtkcP6wzcnkLZwlw1j94MbvBKJ0rp4d2AjdH7GaZZwTGItCULZ8RwTkjB83Ka/VMRaPGEzRa+B0j38Ymew2TSCc1+cbI3qIP8ZO90+oMrfrNGiNG5xx5yg8HrGjK/s1vfnOX5X3ggQd2jRq/20+r7C381hpO1dNCv8+vrFxkunMwEJ2cSy65pEs81NQ7OQx8GKVHy2B9fHsdT2VzNdtq9ZGaHbbgKLoZJmNk7+Mt8/mhuIvXVtsaStfqqaVz2OI7fTRq+lgf7Vif3hdstjoMsX4SvaRMW/+83sFBvbDK8vPOSx2sY/i6VJbRoH5fV43faC1IuwDEm1UCZdFUjjIsPW2ezdabxJd/R/S9jGPxbeEXnpSc5HMXNNUc4QsN/3zt0BDdhx29E+m9D9/Itlr5zWxO9hutR7f6AjgxSmU6WVP2HHP7ne98p5uq//CHP1xOOOGEbsRKI09jx7qcdpVYWxyDb8Sv7A3e7A4YaMl+M9/NbEtrkL6DwuwEPJAYp6l3MorB4vDDD++2D2r2QrsHogAp3WZrwpJziO9meq/5ruhHPgLNqFz+64N6FtP6Yo2PD+sr1vTJ7uXr80PFAq+rLJZnsSbDtxZronf6Yk1kczVdRfwqzmbtWGusob6s7Yl8VzbXNe5yYgAXQ36N0DY+3umlYOuoti4FEjmGtubofyleTEUNLzQ8T6LB//67qC49r8DJ35Hsvtwqy8rO75I9Mnpbj2QXvq2y+4AmWbTmYuWI+LXPy1isLDV8Jad9vk9XCqrCBf3oHSu7+JJ9RfhGTtLCr5Xd2rt4iwJaZluUK0D4uoQTDZps+BrXuEaXYU8Dd8EFF3RXkDJl/9nPfrZLyqOh539GstaW+vD1QTPilzLbuHs9WvvNfDfyEdtBU8Kast45E+C0005bynpnuyDPa7ugtge1+q7XVcSv9wXZnI03qqfPdzN8ed/rvaYr0YnibOS7WZzt49fHP8muTh08Do2zmexZrPG+6+Oszcq3erftQs1H+3whizWR3lvxte1Y5Avep7zsWWfIdhBrvjCm3ZXOl10cAyF+ouzO6LIMMR8dks93Uba8LnHw2YQynqyuKPu8xi8A+rqggbExuvK9IfiNMkIpA+Ts4osWfpEBHrzsGGLEbx++LfwqixLZbXAUjQhfBY1IVzV+a5enRDsYpsI341ejzUiHyB/xm9kWNp35Au9E9sA7N7/5zbuLTdi7zX55pu3f8573dFn2dABudrObrTNln9XVwq9GFtJ9NAWe2W+2E8PGB+0YQB6m4ZHlfve7X9dp0dQ7+9fBHzo2rrT6rhqDKNEu811sDV1Fmctj8IVOi+8qmTCi3+K70K3xG/muzvFo4Rd7qV0k5O0HGnQGvF/VYo3in58BWR+xRo1layzPdgpEsZwycMn8qiXWaCCaxa2IhnbmzNnypmuFUvyshAJKS3ntHd+TsyOJiIatyzfIY/hVfVPU1cpvq+yZfGN0kvHah2/Ecx/u6qTad3FSssNx0p122qk7F52z7EkyYyR/9NFHl2OOOaY7y54pexrJrBET/UiHnt8hckf8ZjLSUHDghm7UI+ud4M5pfuwc2G+//ZY1fjU7acG3T1c1WSNcWu237/mafQ+l32dbrXi1Pl+zrZYYqGdbbGslskeDlRbZN6VYI7nnbPnMI+fyGYFVRkBT9jTop59+end9KT9kltNY0siTnBeN+laZtbB67qdmyx9n7cMvWe/MRPDDtHsUyDcEnzPNGYEZgcVZ8xmEGYEZgQ2HAFPGTEdy1Co/yrJnmvvtb39712hy+h1T9prmHjpKWYlU8KQpdKbbWULw16zCEwfOaETNzMTmut1vJVjP784IrAYCC36qxU6nWIKatmidmvHTHTYpQUFBdIbQWCm/Vr6ormh6JuOrlV/JHmE8pK5saq9FDmHe8k4LJrZ+S2OM7EMwWakcGb/WNldKQ41xhqPyAXhOWfZsmyM5ja1kTNkfe+yxS1n2u+yyy1LGtuUtsyvvxzV/s7yefPLJS2e90wkh8e8e97hH9z+jdluPTdyLAlUmu48BNX1ktjulzU1pDx7nIfF06lhjeVhpnG2JAxtbnJ061kR2PaVtZfzaOLtgL9LgC7JZfSCGqSgjXsZiM2BVprp4zyZhMCLQ5SG6yETvECDgxyda8L29bMDTGMqvshJZI1R9MkLxC692yxDl4jPqmAgvH9B0cYyVnd+pi4+XfQy+wmoIv5JDstsMVviJ+OUdXSThjVW6ikaRuhzB6hF60EZu0aLOKfEVv76Rs7ZYuzjGZ7D2+YLPUIZu5Ave5pW5nPELLqzNM93N1Dzr2zoYhyx7Rvh8RyO7zTbbLGXve36hazP79bvFR+8w9Y+OyHpn6x5b2UiE4xhdjtRl6WCPPfbobJcRunTc57vICF1w91nT2UUsNV/QBRvW7jLfFe6yO7vrQrqK7Fc24u0h84Uav5Ld+o/0bjPaV+ILUWyUvyFnS6yRjJHsEb/Ip508NpbaS6oivatDa2O59U3baR0Ta9CJ2hmrd/nA0FhubcvWU4s1urCmdnFMa6zJ+JXdCEfqlewLZNv5kQkV+XU+bT2KsvN4P8qwpFzn+1olErgAQFnzNkDwe0ZDAcg3pJ5fBZQomxtDUSZjdD42hhidHR1lcwu3Gr/KWJUSkJ33vOxj8W3hF1wku+9Aiacom5rvfLYmOFJfJjvPewPWmdLCwBukpzEE3yH8qlOH7FHWqeSLOpU1X6jx6xsf0fayy2kjfPERprnZH84P0+M6j/2d73xnl3THyXgksTE9ji6UGY5M1E29lCtT3eIl/SE3ywHMErAcwJY9Zgfuf//7dw27lgPUCYxwVIcl2ykgPvpijfVdEgr988q6940yz3lfkO4I6N7f+mzL26+NOVZXtVjDO1bvto6IX75XcF6pL0h28GqJNcI3ig9RrFEWuecX+top4OsST0N8F0zGxBrh7mXPdj712UMke813s2z5MbEG2mNiTbfm7gMRf3vnUVnU082+63tnKG0918JXjSdbn3W4sXLUMPEyenq20xPJtxZkj2To021NljF6jzp0mT1k/Ga6aNX7GNm9j1m91/C1cpNlr+tnmTKnIeZgHKbsaYTZaqfR9f/Su7JceO4Z5cpfXt5VZfkg0FAPswLf/va3u44BZ7yzlY1jYe3Ue5+d1jCxdFtiTYvd9fn7UIz7/K2FJ4/ZaseaLA6N8beh8b8P99aY3Ypvn92NkX1jjzXif06o85qc/54RWOMIMBXPiJ1EO21JI8v+xBNP7M6y12j+1O99q/zl3768HPftS8pVr/LD8u0f/Wn5f3/3V2WbbXdcbNC/2l1084Mf/KCb2mf6X1nviK/p1ujErjUOz8zejMCMwCICc+M+m8GMwEaGgD1yU1n2TNmzTs60/ZFHHll22v7a5S1Hn1i+dc37lO3veLvyi8Xp2Td8/T/KKY/4o3Lfux9QzjnvgrLrrruWe9/73l3DbqfegcPnymxkEM3szghs9ggsa9xZH4mmdyiP1iRBsPWd1udFI6LfWpeez+rKyv3an6Z7aphka7iR1U2Nb8TvlLL38ZvJntnWVPhCtyZ7C/attoVs2Tv6ztOv8dtiW0zZ3+te9+oOxiER7sUv+tvyrV/fvOx804PKlT+7qGy5xVXKTre+Xznu2FPK7c76cXncE5/a7aVvoSE/bMGw5iet+E4ZazJ99MWaKWVfq7GmNTbW4nJrXZnvttpptiyY+dtYe1jLsWaBc6BtlqMyH32Go8731fGp1sh5x0/fAZYdYYgG4F5xxRVLGdP2zGNNB2aH98OTX7Pr49cfdwk9bqjicgsvY1aXzoW2yXGSv1X2Sy+9tHtVGa6qB3ygk8me4QseXo6IX56jHNkJ/t7IldDn8c1k7+PX6wp60EaOyy+/vEuSUeCfCl/JqEROn70LXWvvQ3QY4dvqC8h+0UUXFQ6BIUFuiOw1fGu6At89brB72X7n3csWF+2+uC3j578V88rFBMjf/KpscZ3fKbtd75plt912LWeeeWZnhyu1rT4cycCHZxs7FB+mwDerC9x/+tOfLmWLD401Gb66L8AnyeoM8yg+YPMc+DNFrMlmUyJ+kf2yyy7rYnsWa1pjeaYrJSlbf8tiDXWQ2wEeNgZlvtuZbk9sXB+xpiXOIh/Y08b4j+71aGnHPL41f7OxZmGHHXZYhz6MQdg7vLZ7RNmwGE90Xq62v/isSP4m0G2//fbr0EYI6Gc0fOY9L7fyCw34hbaXMeM3O48Yo+OdFn55hx8v+5T4ZvxqWw469z1hBXmvK95RJr1VVp+uorOudQa1Dj5RfVPim/HL9i3oeHtXRyvit9W2ZA+RL4Av28pY3/Yd46nwFb9XverVyi1veqNy5We/X6688Z0X59h/u731v6/cslz1sh+Vm+93xGJDe7Uuwx77bfFd8EX3WXZ/dGQuvg4t/10rvuCGHqOdObVYwzve3/p8N7MHeIh2EoFLFAeQ/TrXuc6yd9ZqrNERyT4+tPK7oWON2pEpYk0mexZr8HW+23HHHZc17nzXGmuynVqZ7yrWLETBRr0UyxnOkF2WgaNHW4x4ngbUT8UKFE9bgTZyEuoHlKiuVn657II7tb0B2x6lb8g08vDaEsC+POOXWQuw9LKPxVc94CH8IsOFF1647D5x3s34taPqFtkje2DWgpGrl92OhFtoRPaQ8cuzjNwjm8vs187kDPWFzB6waWh7+lPia/l9+MMfXt5x9BPLCV86qlxj7wO7kfsV33h/efTtti6H3P1eZYur/HZFLuM38wX41VYmryuCSuS7lNGx8d+NwRc9RjQyfjXajvRe893Ifu3Ifag9SHY/kFirsaYVX+KWthpaTDZ0rGHGhOOdp4g1NV/QLKGVHdsh1k0VayJ8a76LzbHTZdmau/YU+hGcpp6WdUUWC3SIim949U5UV7RW0UfDH3wAL638ilf+94276orK/ZQetJEhKhdfEb8auXsc+2TnvQjfaK0oq6tP9gzfsbryOGZ4ZfyOwVcyRvhGclhdZfYw1BfEb6SrmuxT4Wt9YZttty/ve9Pfl+e/6GXli6e+rfz6lz8v9z18r/LXz/7bpYa9xm+2ZlmzrcwXarJHHfOpfSHCd4htRfaQxb+xsq/FWDNFbNzUYk0WZzPfXQuxZs6Wj7x1LpsR2AQQ2PV6e5TXv/afy8Xnn7U4Y3NRueHv7tsrlRo9BXj97zuWvRXND8wIzAhsUASWNe5Zjz0rh/vWd7JAMTWNiI7Ksu+mKK9hkml7Lcse8TyG31bZx9Co2dZU9PvsvYWH9eELW22zmF9yxX8vE19yWB5e8IIXdCfV6ZhkpvhucIMblH/4h39YWhZr8RERbXlnrN5r/u6FH0uj1RcUC4bS77OtMfSH0h4by6eMs63y9elxqOx99bTa1lqINQta/xYzOrvZTyso4SvakhCd90x9BAg/1QtIOndY63eizbNa3/Dg6NxhP0Xayq/Wd3kvWgeLMtbtecSWL62TR5ggB99bfnlO63Ze9rH4tvArOZA9yjfw/EqHkaGCY1QPz0bnU0NPMnqbq+Gb0YjwFb/edq3NqdGyMkX8Sg7eHeoLStLygYK/kR3aXnbJ4TFuxTfjF9okdem8aytLxO8jHvGI8rCHPay86lWv6jL8n//85y8tP+ms7myJKPNd+bXPJpcuhuIr/UZb6JT05HfHZLGmz3ehFflI5As135Xe/Xviy8cgJSz6xkS6aok1yudoiTVKcoxkj2KNZPf8Kva3xppsmpv6Mtm9rhRrhLFdMhkTayLbymKN/DDT+9hYk9lDLdZ0t8IJUB/IfLn+ztawrAGrLv+OZdLS5l39na1X+OdVV8RXVJeVL+LL1t+HSY1fK7sPpsJojOxD8Y1o1mTPZMnsQc/b/33wyuSz8vP7GBo126rh7Wn7jpp9VzS8jWW0a5hEjmllz+y3Bd+a73o5PQ5Wbk6443OjG92oO8ueM+0VsGrvZb7rfWElfmXt1PtChL+3eW8b3ka9b0b2ENlQFDcizPvi6RjbynzX6qMl1tTiZhYzI5/ObGWs77boKtLz+oo1vn3zcTGy4b52N7O5KD5Y+gt+W4dA8D1KZWVHzwNmdoEI9fgely6A8TSklOxyj2gLQcav1gp9XdpOB79+FgD6ugjBKkU9wUh2nov4hX7EL2V852XP+JUCM3xb+EXxuswhanAifmV4Xnaw4rvaRSyeBjL7ixyQb0p8M361Rziz32g72Bhf4J1IV+AeyT4lvhm/yBZdfCEbj/j1iYnSM/zKtqMGLLIHXXwxNNbUfIHvWnwBfrRrJwq0Lfar970c4jeSL5N9ylhDXZHvaqakJdYI3yg+RLGGsiibm/fx62jbYhYbp/SFzN/GxJpMVxm/mq1utS3qi9rdLFu+N9Z4g7e9Hu+8fd9FBhG901fPkN5O1JsZwm80SrJ1Zfy2lEe9s7H82rpa8K3hroZ5KF5jZff8Rj3NPqxabaXWw4/sqg/fVlsU/fUhezYj0OrTkT30YRXRyHRV03sLvn26mjrWtOA7RvYWv8rsuuY/rToci+8ca9ZFus8Wsvjb4guyh8x3KZ+z5TMPmMtnBGYEZgRmBGYENlIE5sZ9I1XczPaMwGoiQBIeBy7NnxmBGYGNE4EFf/iCDsKIyvsOsPDTWHrelmcJNsCn56MDIaK69I7WAa0Ksrrs4QorlZ2pjxZM1pLs3lxr+ErOIfhaPdrnx8jeiq9oZ/xG5Rm/Y2zL8htN6Ua2Yu1xJfj28RvJXuP30EMP7Y56HRoHar6b6XHqWOPjQM3mhthW5CPCeaiuppJ9CL9TxNmaj4yNs5tCrMlkX6uxppuW91txWreWoThtn/ABjbqUXCAFk9CgLUHaLqHveDbbTlPb+sT7fp0j256iICTerOFFWyf4fsz2iWwrnLb/eNlXshXOB+CMX8k31faU1q1w8AUP2tYo7KfaaihbjNa8rOw+2Egn0XnaaiDsO5muoBttC6UOZJT8lr8xW+Fa+IW2ZPe0Mn6R9fa3v32XpMWRst5HonW+mu/ynbYT2brGxppoK1zku7VYgwwt26tkW952+HslW+Ei31Wnx9KSrlq2wmnbZWusgW62Fc7zu6G3wmXbbuVrXvYxsVy262XPfHc1Yk00WMhijbbhLfjMUzlOdDkCTEcXQ2AMUVaksv98VroyWKPLJ3gno6Ese2v0rfyqswGN6DasKKtYBuGxUpBr4ReZec/LLoW04tvCr56FRhQkInx1m1WkK+rI+OX5aJcE5dEZ48g/Bb4Zv11PdjFbv4XfVtuSPUS+ALaR7FPim/GrbPEM34hfGnV04vGCX2VU+9Fr5ru8Qz2+rlZ81YmnHh/s+DvyBTDHf7399vluZL+y5xbfxebA17+T8TtlrNGtby38ggv8et/N+FXj7m1LmfUbOtZ42cfgm8me+S52OmWsgecW34U2cs9r7lFXfC6bEZgRmBGYEZgR2IgRmBv3jVh5M+szAjMCMwIzAjMCEQJz4z7bxYzAjMCMwIzAjMAmhsDcuG9iCp3FmRGYEZgRmBGYEVggcUZZgCQOKANPlw4AEeVKnOBvn42sOvxWDF1WocQD3uV3lfM/9eqjjNBILUrwsYkeygTmecsvfyOTv6TDysE2H3uRhWSnfl+uJAz4s7Ir49bjQV0Rv5Id/rzsEb/CoYbvUH5txjay8574zvi1+GrLlnhSdnSUma6dCNYekF3ZyVZ28SX9eXx9Zr3sUfha2xK/2p6iupAVmdEj/7fYr2zGYpX5guzX1y/Z4dnLroxbj29WF/JnvhD5LrLzPLJbX++zLZ5VgpqVXRebRL6gzGXrv9KvbM7GGmX9D/Fdy6/P1pf9en75Gzm0Q8PHmizbObLfPl/QhVBe9xZ3i6N2mkSxRrYwxBdsLLGxUTYnO7Ky98WaCN8av9537Q4NzkvwPtriu2pvWnSlI3HhOYo1Gb4Rjcy2slhDuWINsvtPLZZHsSZrexQH/M4KK3t6tnyULQ/x7LzcKONWGco+W17nu/uztgV6dnZ0lM2tYJ/x6+tStnyXTbiYVWg/8Btl3Oo84ijjlvezs7k9v9o9wDtedhyE7zPZM3xb+FXWZ5QJDC4RvrwTZffLqDJ+PQ3JDub6EfZT4StbiPjV+eq1856jHQTwPdQXFIyjc+rtufr+5rIM38y29PxQfqXX6H4AZUfbjpgCamRbPIfuo90TqssHNOrh+exs+aG+q057iy9Qt87mtrhLV0Pt18oUZZ9nsVFnnEexo8V3+/jNYg3vtcQa6dbbVhYb1ZhEuwF0tryva0ysafEFxbnoLosxsSaTvRYbwaXVtqJYk+GrznXkC7KrBQ+8tqdEyqUsCigq9wFC5RkNns/e8QGir64WfqEZyVKjAZgtNPrq8rKr/qnwjfi1uo10kmES1YV++uzB06jhPjW+Q+3ayjH0nUxXttzbdavsY/DNfHeIT7f4rnjLfNSX12TXd76T3WdbLfzK1+w7Q/wtsodI9lpdGzLWSN4xsWZofMhkXyuxxssOX5tLrJnX3JdNnMwFMwIzAjMCMwIzAhs3AnPjvnHrb+Z+RmBGYEZgRmBGYBkCyxr3aKqct7Ly2ne1uiJdTE3DT92JV/u/5aNV9rH8+qSb1cB3Stmn0tVUuPfZXMZv5v9T6T2a/vX25XmI9LQa9lDTYWYrU5SL7lR1jdHVVPY7RldT2fwca7YI3bcPl8jfWmxxY4416dnyQ88QRnidP+1Bs1mR1smzs651BnW07qwsQ5+cpwzhiF/oeJ54juQ16vMJdTZD2BqFMha9odBI805kLBG/PKeMTJ+ZqeNns7qiIGEzWIfwK9zhzWOc4Ss+fYdEusr49etaPAeO8Oxl78M3kr2FX2jLFqOMbr6L1uFqtgXPXnbZg+eX59BvJPtU+EIz4hfayhiOzpav+W6U8DXmLHz5m7e5Vt+1MkaxxvMr2aMz/ft8N7MHePC+UPNdye7fWauxJjqrXTE+sge7c8TGoI011mTxrOYLkW7l777NGBtrsranFmsWrDD8bhMhxDTlyo5WQoIlpneG1GWf5XfbKNdGPlHSXsYvvGXPI5Pes7LYsqhczu4VKXk8+BF9+6yXPXpedWb4Cq8h/HqsMtkjHUay2/paZPd4qZ4avrXEvDGyZzocYr9DfCHiNxoB1GTvw1e6t53mzHf7/CqrSzZp44Ds1seBjIa10UhXFgMvSxRrIjqZ79ZijWJEFMxr8UzvWRsSThm/GY5e9iG+kPHr/WpsrInsrq9dqMmXydgie58vZLLrPbv9UjqKdBXF8tZ2wfI6VFet+CqW1NoFvlscvC7fDgYxX66KfDmEoq0xKud5H+zoBVGmywXk1Ervj7bMaPuEr0uNtedLCvV1iXa07Uvb5PzsgMCPZId+C7/a8+llz/jtw9fXYxUf8Qt+8OsNjzJ+PL4aqUR2wnc12T0N8Rpd2PM/xuj7Cd0oKaLRyq9kq9mv5zezrZovZPxqS1RmQ634RtvtMn5rsvNOtD0w8wXr11ZZNd+VzQ2NNWAVxSDoMSJq4RfZdauX9+ua72b4wkMWa2r+Fr3T6rvrI9aAbxQfMntAt8yMZLJHOLb6rjpSrbFGMd7qfWwsj3SVxUb5Wwu/tViT4Zu1u4qly9bc/ajGN7zLou9igRw7Co5ZfbV6Wr5r5VfPR+9JDk+/tVxKn1r2ofjW+BVvU9TVh33Uc23VbR+NFl1FtK2uIkzG8CtHjXhr4bdP9hZ+a3JE/LbafPa8jR9D8OjzndZY04dhazxrsYc+2aeIQX14tfI7Bt9Mjg0da1Yb3744u5q2Jdq1WDNny2cRfy6fEZgRmBGYEZgR2EgRWNa4R+sOyKZ1lUjO1ndan6/Rb61Lz0fTz5mM0foMPGmKJ8Mko+GT/1YD36jXOqXsffYQyZ7hNTW+NdlbdVVbN/N11dYGW2Ufg2/NFyI5hqxlehkjvfbZb032FnxFp+WdDJOxvttiP7UYsZZjTWtszJ6v6T17J/PdVrtr9bex9rCWY83C5Zdfvk72pzLMozUi5v6j9S7WtKJ1GurSGrecAhB/+tOfdufveto6rzzLaI7WhFv5hQYZi5deemnHm/3o7HNfzjpUtNaHYnknw8TnG0h2aEayZ/jCb7R2VeNXOQpWPp1zfckllyxbWwfzKD9C5/P79SPpKjpiMbIHZEfn4ss6xVT4ImvEr2iD42WXXbYsPlM+hW0hE7J7XYk+OudjZR+Dbwu/sjne8TaX8QuP2Tp1H7+Z74K7z7Rv9V34Qo5oh0rEL7IjcyZ7i+9CW2fhR75Q811ijX+n1Xelq8zfolhzxRVXdLbWGmsifDN+dU69j4HaGTNVrGlpe+RvyA7uPtZEsbEvlkdr7pkvyEajWJPF2bG+EMUa2fvCBRdcsEx4DNk3cADCT5Q4gZBKgrGRU+el214XwGN0CONpAzDvtNKI+M3qopxG5sILL1zWwEX8Ujdy816UkFPj1/fOFWzUo7dGN1b2qMeZ8Uu5ZPejH3QYjSZ04USr7N4ebCMTXRQyBb7gGvELbeyNixywOf+p2e8YX4gSBqGNjNoKIx7G2laLv0FTsvuRRovvjvUFbO7iiy8OA+0YfFtkXx+xphYbkf2iiy5aFjumjjWRv6lRx/43RKzB5oizGyrWaAuolT3zNw0MorYn01UWG/GpMbGmJZaL30jv2Dxy/n/CF2WZ75ZCRQAAAABJRU5ErkJggg==)
Given that,
PA = 30m, AC = 30m, and CT = 30m
PC = PA + AC = 30 + 30 = 60m
∆PCT is right angled triangle at C
Area of ∆PCT = 1/2 × PC × CT
![](data:image/png;base64,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)
= 900m…………(1)
In, ∆SCT is right angled triangle at C
SB = 60m, BC = 30m, and CT = 30m
Area of ∆SCT = 1/2× base × height
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAAoCAMAAAAVFl7eAAAAAXNSR0IArs4c6QAAAI1QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjqQOmaQOma2OpC2OpDbZgAAZgBmZjoAZjo6ZjpmZmaQZpC2ZpDbZrbbZrb/kDoAkDo6kGY6kLbbkNv/tmYAtmY6tpA6ttv/tv//25A627Zm27aQ29u22////7Zm/9uQ/9u2//+2///bDLS4ZgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABtElEQVRYR+1W2VbCMBDtVJa6gCK4YFxSNWBpO///ec4k6ZJw6CkoeVDy0pa5Jzdz52aGKPrna714C6tAMYezz6CU+eRDBaak/E6URyrySdg/JGwctvvgSwIAg8cjKXjadpcCqwuSfcnR9RwgnmS7gDasqEx6Hdy4VfwaoRgRkYLrDN93Oq0KK0JQb8G0L2V5Z+ZYYZ8oxvSVX2VRnvAbPhtz+7gmrG7MnChve05EFENGlrOp0c8kyItP3ywf54b366Cao5xxRoYJppoThSuUh3PDNaWsCgtdV5/2+pqPG5OkED/QVzmr0rVncXFuuDvL+hhQ5YUCnN2LBZDYW5SUdwu3D+W25X1Kuh3JKPOFZalblD8X1hORhZJeNbSwDc4JH2YfW0xjdd5iA+T++pIYK5PNqqI74b0o7aWoLas3LdjAKOJlVLcCH+eGfUW2q9f6pbg3x87tM1pdUpdjy0aY0sgZ6FdqFT6uHaar0TkOkXvjMOjAlLAk5fo2xE6J+gYlNxoFT33xv4XbhKeUQYXV/kxC64qCb3nIZcZw0CVboyoMseLevAkpbX5OnQdlSEr7X+EYlN/I7S8k4C0wDwAAAABJRU5ErkJggg==)
=
×30×90
= 1350m…………….(2)
In ∆SBR is right angled triangle at B
SB = 60m, BR = 25m
Area of ∆SBR = 1/2 × base × height
=
× SB × BR
=
× 60 × 25
= 750m…………..(3)
In ∆APQ is right angled triangle at A
AP = 30m, AQ = 50m
Area of ∆APQ =
× base × height
=
×AP×AQ
=
×50×30
= 750m…………(4)
Now, in trapezium ABRQ
AQ and RB are the 2 parallel sides
Also, AQ = 50m and BR = 25m
⇒AQ + BR = 75m
The distance between AQ and BR = 60m
Hence,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 2250 sq m………….(5)
Now area of quadrilateral PQRST = (1)+(2)+(3)+(4)+(5)
= 900+1350+750+750+2250
= 6000 sq m
(2) the data for this question is inadequate.
Find the areas of given plots. (All measures are in meters.)
(1)
(2)
Answer:
(1)
Given that,
PA = 30m, AC = 30m, and CT = 30m
PC = PA + AC = 30 + 30 = 60m
∆PCT is right angled triangle at C
Area of ∆PCT = 1/2 × PC × CT
= 900m…………(1)
In, ∆SCT is right angled triangle at C
SB = 60m, BC = 30m, and CT = 30m
Area of ∆SCT = 1/2× base × height
= ×30×90
= 1350m…………….(2)
In ∆SBR is right angled triangle at B
SB = 60m, BR = 25m
Area of ∆SBR = 1/2 × base × height
= × SB × BR
= × 60 × 25
= 750m…………..(3)
In ∆APQ is right angled triangle at A
AP = 30m, AQ = 50m
Area of ∆APQ = × base × height
= ×AP×AQ
= ×50×30
= 750m…………(4)
Now, in trapezium ABRQ
AQ and RB are the 2 parallel sides
Also, AQ = 50m and BR = 25m
⇒AQ + BR = 75m
The distance between AQ and BR = 60m
Hence,
= 2250 sq m………….(5)
Now area of quadrilateral PQRST = (1)+(2)+(3)+(4)+(5)
= 900+1350+750+750+2250
= 6000 sq m
(2) the data for this question is inadequate.
Practice Set 15.6
Question 1.Radii of the circles are given below, find their areas.
(1) 28 cm
(2) 10.5 cm
(3) 17.5 cm
Answer:(1) We know that
area of circle = πr2
Here given that radius of the circle is 28cm
![](data:image/png;base64,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)
= 784π sq cm
= 2464 sq cm
(2) Here the radius of the circle = 10.5 cm
![](data:image/png;base64,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)
= 110.25π sq cm
= 346.5 sq cm
(3) Here the radius of the circle is 17.5cm
![](data:image/png;base64,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)
= 306.25π sq cm
= 961.625 sq cm
Question 2.Areas of some circles are given below find their diameters.
(1) 176 sq cm
(2) 394.24 sq cm
(3) 12474 sq cm
Answer:(1) We know that area of circle = πr2
Here area of circle = 176cm
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
(2) Here area of circle = 394.24 sq cm
![](data:image/png;base64,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)
![](data:image/png;base64,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)
r = 11.2 cm
D = 2r = 2(11.20) = 22.4 cm
(3) Here area of circle = 12474 sq 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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)
D = 2r = 2(63) = 126cm
Question 3.The diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.
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)
Answer:Given that the diameter of the garden (inner circle) = 42m
Therefore, inner radius, r = 21m
Also, given that road surrounds the garden and is 3.5 m wide.
Therefore, the diameter of the road (outer circle) will be = 42+2(3.5) = 49m
And then outer radius, R = 24.5m
Now, the area of road = area of the outer circle – area of the inner circle
area of outer circle = πR2
= π(24.5)2
= 1885 sq m
area of inner circle = πr2
= π(21)2
= 1385 sq m
Hence, area of road = 1885-1385 = 500 sq m
Question 4.Find the area of the circle if its circumference is 88 cm.
Answer:we know that,
The Circumference of a circle = 2πr
Given circumference = 88cm
⇒2πr = 88
r = 14cm
Now, area of circle = πr2
= π(14)2
= 615.75 sq cm
Radii of the circles are given below, find their areas.
(1) 28 cm
(2) 10.5 cm
(3) 17.5 cm
Answer:
(1) We know that
area of circle = πr2
Here given that radius of the circle is 28cm
= 784π sq cm
= 2464 sq cm
(2) Here the radius of the circle = 10.5 cm
= 110.25π sq cm
= 346.5 sq cm
(3) Here the radius of the circle is 17.5cm
= 306.25π sq cm
= 961.625 sq cm
Question 2.
Areas of some circles are given below find their diameters.
(1) 176 sq cm
(2) 394.24 sq cm
(3) 12474 sq cm
Answer:
(1) We know that area of circle = πr2
Here area of circle = 176cm
(2) Here area of circle = 394.24 sq cm
r = 11.2 cm
D = 2r = 2(11.20) = 22.4 cm
(3) Here area of circle = 12474 sq cm
D = 2r = 2(63) = 126cm
Question 3.
The diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.
Answer:
Given that the diameter of the garden (inner circle) = 42m
Therefore, inner radius, r = 21m
Also, given that road surrounds the garden and is 3.5 m wide.
Therefore, the diameter of the road (outer circle) will be = 42+2(3.5) = 49m
And then outer radius, R = 24.5m
Now, the area of road = area of the outer circle – area of the inner circle
area of outer circle = πR2
= π(24.5)2
= 1885 sq m
area of inner circle = πr2
= π(21)2
= 1385 sq m
Hence, area of road = 1885-1385 = 500 sq m
Question 4.
Find the area of the circle if its circumference is 88 cm.
Answer:
we know that,
The Circumference of a circle = 2πr
Given circumference = 88cm
⇒2πr = 88
r = 14cm
Now, area of circle = πr2
= π(14)2
= 615.75 sq cm