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?

1.

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.

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