1.

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 ?1). 116.25 sq.mts2). 104.25 sq.mts3). 146.25 sq.mts4). 128.25 sq.rnts

Answer»

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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