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Question

# If the ratio of length and breadth of a rectangle is 5:4 and its perimeter is 180 m, then find length and breadth of the rectangle.

A

length = 20 meters and breadth = 25 meters

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B

length = 40 meters and breadth = 50 meters

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C

length = 25 meters and breadth = 20 meters

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D

length = 50 meters and breadth = 40 meters

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Solution

## The correct option is D length = 50 meters and breadth = 40 meters Given, the ratio of length and breadth of a rectangle is 5:4 and perimeter = 180 m. ∴ Let the length is 5x meters and breadth be 4x meters. ∵ Perimeter of a rectangle = 2×(length + breadth) ∴ 2×(5x+4x) = 180 m ⇒ 18x = 180 ⇒ x = 10 ∴ length = 5x = 50 meters and breadth = 4x = 40 meters

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