Area Q4

4. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A.        16 cm            B.        18 cm

C.        24 cm            D.        Data inadequate

E.        None of these

Answer: Option B

Explanation:

2(l + b)	=	5
b		1

 2l + 2b = 5b

 3b = 2l

b =	2	l
	3

Then, Area = 216 cm²

 l x b = 216

l x	2	l	= 216
	3

 l² = 324

                     l = 18 cm.