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

80%
120%
100%
140%

Correct answer: 80%

Solution

Let rectangle length = 13x and breadth = 5x. Its perimeter = 2(13x+5x)=36x, so the square side = 36x/4 = 9x. Breadth is 5x, so the square side exceeds breadth by 4x, which is 4x/5x d7 100 = 80%.

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