The ratio of the length and breadth of the rectangle is 3:2. If the breadth of the rectangle is equal to the side of the square

The ratio of the length and breadth of the rectangle is 3:2. If the breadth of the rectangle is equal to the side of the square, the radius of the circle is 16.66% more than the length of the rectangle and the area of the circle is 1386m2. Then find the perimeter of the square?

A.            36 m

B.            40 m

C.            48 m

D.            45 m

E.            None of these

Sol:

The area of a circle=22𝑟²/7

1386=22𝑟²/7

𝑟²=1386*7/22=441

r=21 m

The length of the rectangle=21*6/7=18 m

The breadth of the rectangle=18/3*2=12 m

The side of the square=12 m

The perimeter of the square=4*12=48 m