Question

The perimeter of a rectangular swimming pool is 64 m. If its length and breadth are in the ratio of 5 : 3, find the length of the pool (in metre).

• A. 10
• B. 20
• C. 30
• D. 40

Answer 1

The correct option is B

20

Perimeter of swimming pool = 64 m (Given)

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

Since length and breadth are given to be in the ratio 5:3, we can assume them to be 5x and 3x respectively.

i.e. length = 5x and breadth = 3x

Substituting these in the formula of perimeter, we get

64 = 2(5x + 3x)

$\Rightarrow$ 8x = 32

$\Rightarrow$ x = 4

Length of the swimming pool = 5x = 5$\times$ 4 = 20 m