Question 191
The area of a circle is equal to the area of a rectangle with perimeter equal to 35 metres and breadth equal to 5.5 metres. 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 $$2\times\left(l + b \right) = 35$$
$$b=5.5$$
$$\left(l + 5.5 \right) = 17.5$$
$$l=12$$.
Area of Circle=Area of Rectangle= $$l \times b$$=$$12\times 5.5 = 66$$
Hence Option C is the correct answer.
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