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

B

length = 20 meters and breadth = 25 meters

C

length = 50 meters and breadth = 40 meters

D

length = 40 meters and breadth = 50 meters

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 Mathematics

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