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?
Answer: Option B
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\(\frac{2(l+b)}{b}=\frac{5}{1}\)
2l + 2b = 5b
3b = 2l
b= \(\frac{2}{3}l\)
Then, Area = 216 cm2
l x b = 216
\(l\times\frac{2}{3}l=216\)
l2 = 324
l = 18 cm.
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