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

12 m

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15 m

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20 m

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Solution

The correct option is C 20 m
Perimeter of swimming pool = 64 m
Perimeter of rectangle = 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.

$\Rightarrow$ Length = 5x and breadth = 3x

Substituting these in the formula of perimeter, we get
64 = 2(5x + 3x)
8x = 32
x = 4

So, length of the swimming pool
$= 5 x = 5 \times 4 = 20 m$

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