The ratio between the perimeter and the breadth of a rectangle is 5: If the area of the rectangle is 216 sq.cm, what is the length of the rectangle?

The ratio between the perimeter and the breadth of a rectangle is 5: If the area of the rectangle is 216 sq.cm, what is the length of the rectangle?

A 16 cm

B 18 cm

C 20 cm

D 24 cm

Solution

Correct Answer: Option B

216sq cm Sorry, your browser does not support inline SVG.

2x + 2y = 5y

2x=3y

x=3/2 y

again,

xy = 216

3/2 y * y =216

y2= 432/3 = 144

y=12cm

Length = 3/2 * 12 = 18cm