Question: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. The length of the rectangle is 

A `20 cm` 
B `30 cm` 
C `40 cm` 
D `50 cm` 

+ Answer
C 

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

`(2x - 5) (x + 5) - 2x xx x`

`= 75 or x = 20`.

`:. Length = 40 cm.`

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Irin Moni

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