1.

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

Answer»

Let breadth = x. Then, length = 2x. Then, 

(2x - 5) (x + 5) - 2x * x = 75

5x - 25 = 75 

x = 20.

 :. Length of the rectangle = 20 cm



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