Q99 of 107 Page 104

The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle.

Let x be the width of the rectangle. Then, length of the rectangle will be 2x.


∵ Perimeter of a rectangle = 2[Length + Width]


According to the question.


2 (x + 2x) = 180


⇒ 2 (3x) = 180


⇒ 6x = 180


⇒ [dividing both sides by 6]


⇒ x = 30


Hence, width of the rectangle is 30cm and length of the rectangle is 2 × 30 i.e. 60xm.


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