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Question

the length and breadth of a rectangle are in the ratio 1:2 if the length is increased by 2 cm and breath by 3 cm then the ratio of the perimeter of the new rectangle to the perimeter of the original rectangle is 4/ 3 find the dimension of the original rectangle.

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Solution

Let the length = x cm Breadth = 2x cm So, perimeter of original rectangle=2x+2x=6x cm ...1If length is increased by 2 cm, new length=x+2 cmIf breadth is increased by 3 cm , mew breadth=2x+3 cmPerimeter of new rectangle=2x+2+2x+3=23x+5 cm ...2A.T.QPerimeter of new rectanglePerimeter of original rectangle=436x+106x=43 using 1 and 26x+102x=46x+10=8x10=2xx=5 cm= length and Breadth =2x=2×5=10 cmNote:If l and b are the length and breadth of rectangle respectively perimeter=2l+b

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