The length of a rectangle is twice its breadth .if it's length is decreased by 5 cm and the breadth is increased by 5cm,the area of the rectangle is increased by 75 cm2.the length of the rectangle is:

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Solution

Let breadth of the rectangle = x
then length = 2x
Area of the rectangle = length x breadth = 2xx = 2x²

if length = 2x-5, and beadth = x+5
Area of rectangle = length x breadth = (2x-5)(x+5)

By question,
(2x-5)*(x+5) - 2x²=75
2x²+ 10x - 5x - 25 -2x²= 75
5x = 100
x = 20

therefore breadth = 20cm
**length = 2x =2*20 = 40cm** Ans.

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