Q12 of 46 Page 156

A rectangle has a length which is 5 cm less than twice its breadth. If the length is decreased by 5 cm and breadth is increased by 2 cm, the perimeter for the resulting rectangle will be 74 cm. Find the length and breadth of the original rectangle.

Let b be the breadth of the rectangle, ⇒ length = 2b - 5


Given, 2(2b - 5 - 5 + b + 2) = 74


⇒ 3b - 8 = 74/2 = 37


⇒ b = 15


The Length and Breadth of the rectangle are 15 cm and 25 cm respectively.


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