Question

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

• A. 10
• B. 20
• C. 30
• D. 40

Answer 1

The correct option is B 20

Given:
Perimeter of swimming pool = 64 m
Length and breadth are in the ratio 5:3.

$\text{Let the length be 5x}\text{and breadth 3x.}$

$\text{We know that,}\text{Perimeter of a rectangle}\text{= 2(length + breadth)}$

$\text{On substituting the values,}64=2(5x+3x)64=10x+6x8x=32x=4$

$\text{Therefore, the length of the swimming pool}=5\text{x}=5\times 4=20\text{m}$