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The perimeter of a square is equal to perimeter of a rectangle. If the ratio of length to the breadth of the rectangle is 13 : 5, then find the side o
Question



The perimeter of a square is equal to perimeter of a rectangle. If the ratio of length to the breadth of the rectangle is 13 : 5, then find the side of square is what percent more than breadth of the rectangle?

A.

80%

B.

120%

C.

100%

D.

140%

E.

160%

Correct option is A


Let length and breadth of the rectangle be 13x & 5x respectively
Perimeter of rectangle = 2(13x+5x) = 36x
Given, perimeter of rectangle = perimeter of a square
4×side = 36x
Side = 9x
Required % = (9x-5x)/5x×100 = 80%

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