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Question

If the ratio of length and breadth of a rectangle is 5:4 and its area is 500 m2, then the length and breadth of the rectangle are _______.


A

length = 25 meters and breadth = 20 meters

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B

length = 20 meters and breadth = 25 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 A

length = 25 meters and breadth = 20 meters


Given, the ratio of breadth and length of a rectangle is 4:5 and area = 500 m2.

Let the breadth be 4x meters and length be 5x meters.

Area of a rectangle = length × breadth

5x × 4x = 500 m2

20x2 = 500

x2 = 25

x = 5 m

length = 5x

= 25 meters

and breadth = 4x

= 20 meters


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