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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 _______.

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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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