The perimeter of a rectangular swimming pool is 64m. If its length and breadth are in the ratio of 11 : 5, find the length of the pool (in metre).

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Solution

The correct option is C
30

Perimeter of swimming pool = 64m (Given)

We know that,
Perimeter = 2(length + breadth). Since length and breadth are given to be in the ratio 11:5, we can assume them to be 11x and 5x respectively.

i.e. length = 11x and breadth = 5x

Substituting these in the formula of perimeter, we get

64 = 2(11x + 5x)

32x = 64

x = 2

Length of the swimming pool
$= 11 x = 11 \times 2 = 22 m$

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