Question
The length of a rectangle and the side of a square are
in the ratio of 6:7, respectively. The breadth of the rectangle is 33(1/3)% less than its length. If the difference between the area of the rectangle and the area of the square is 625 square units, determine the perimeter of the square.Solution
Let length of the rectangle and side of the square be '6x' units and '7x' units, respectively. So, breadth of the rectangle = 6x X (2/3) = '4x' units ATQ, (7x) 2 - 6x X 4x = 625 Or, 49x2 - 24x2 = 625 Or, 25x2 = 625 Or, x2 = 25 So, 'x' = 5 Therefore, perimeter of the square = 4 X 7x = 28x = 28 X 5 = 140 units
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