If the ratio of the length of the rectangle and the breadth of the rectangle is 5:6 and the perimeter of the rectangle

If the ratio of the length of the rectangle and the breadth of the rectangle is 5:6 and the perimeter of the rectangle is 66 m and the side of the square is 5 m less than the length of the rectangle, then find the area of the square.

a)            100 m2

b)            121 m2

c)            81 m2

d)            169 m2

e)            None of these

 Sol:

Length of the rectangle = 5x

Breadth of the rectangle = 6x

2(5x+6x) = 66

x = 3 m

Length of the rectangle = 5*3 = 15 m

Side of the square = 15 – 5 = 10 m

Area of the square = 10 * 10 = 100 m2