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


Options:
A .  15 cm
B .  18 cm.
C .  20 cm.
D .  22 cm.
Answer: Option C

Let breadth  = `x` , then , length = `2x` , Then ,

`(2x - 5) (x + 5) - 2x xx x =  75`

`hArr   5x  - 25 = 75`

`hArr     5x = 100`       `hArr    x = 20`

`:.`       Length of the rectangle = 20 cm.



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