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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 = 25 meters and breadth = 20 meters

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C

length = 50 meters and breadth = 40 meters

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D

length = 40 meters and breadth = 50 meters

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Solution

The correct option is C

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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