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Question

Find the area of the above shown figure( in m2). Where ABE is an equilateral triangle, ABCD is a rectangle, arc BC, and arc AD are semi circle.


A

351.7

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B

400

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C

451.7

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D

252.45

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Solution

The correct option is A

351.7


Area of the rectangular part = length x breadth

= 20 x 7 = 140 sq m

Area of Semi-circular portions: = π x r22 + π x r22 = π x r2 = π x 3.5 × 3.5 = 38.5m2

Area of equilateral triangular part = 3(side)24 = 3(20)24 = 173.20 m2

Total area = 140 + 38.5 + 173.20 = 351.70 m2


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