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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?

16 cm
18 cm
24 cm
Data inadequate
None of these

Correct Answer: 18 cm

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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