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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?

Question:
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

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.