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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 metre).

A

20

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B

10

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C

30

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D

40

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Solution

## The correct option is A 20 Perimeter of swimming pool =64 (Given) 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. ⇒ Length = 5x and breadth = 3x Substituting these in the formula of perimeter, we get 64=2(5x+3x)⇒ 8x=32⇒ x=4 ∴ Length of the swimming pool =5x=5×4=20 m

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