The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm 2 . Therefore , the length of the rectangle is?

Question

Accepted Answer

Let breadth = b, length = 2b
∴ Area of rectangle = 2b x b
= 2b²
As per question.
∵ (2b - 5 ) (b + 5 ) = 2b² + 75
⇒ 5b = 75 + 25
⇒ 5b = 100
∴ b = 100 / 5 = 20
Hence, length of the rectangle =2b
= 2 x 20
= 40 cm.

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm 2 . Therefore , the length of the rectangle is?

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