Question

The perimeter of a rectangular swimming pool is 70m. If its length and breadth are in the ratio of 5 : 2, find the breadth of the pool (in metre).

• A. 10
• B. 5
• C. 15
• D. 7

Answer 1

The correct option is A 10

Perimeter of swimming pool = 70m (Given)

We know that,
Perimeter = 2(length + breadth).

Since length and breadth are given to be in the ratio 5:2, we can assume them to be 5x and 2x respectively.

i.e. length = 5x and breadth = 2x

Substituting these in the formula of perimeter, we get

70 = 2(5x + 2x)

$\Rightarrow$7x = 35

$\Rightarrow$ x = 5
So, breadth of the swimming pool = 2x = 2$\times$5 = 10 m