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Question 186
The area of a circle is equal to the area of a rectangle with perimeter equal to 42 metres and breadth equal to 8.5 metre What is the area of the circle ?
Solution
Let the area of rectangle and circle be $$A$$.
Let the length of the rectangle be $$l$$ and breadth be $$b$$.
Given $$2\times\left(l + b \right) = 42$$
$$b=8.5$$
$$\left(l + 8.5 \right) = 21$$
$$l=12.5$$.
Area of Circle=Area of Rectangle= $$l \times b$$=$$12.5\times 5.5 = 68.75$$
Hence Option E is the correct answer.
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