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    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.
    A 120 units Correct Answer Incorrect Answer
    B 140 units Correct Answer Incorrect Answer
    C 100 units Correct Answer Incorrect Answer
    D 80 units Correct Answer Incorrect Answer
    E 160 units Correct Answer Incorrect Answer

    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)┬а2┬а- 6x X 4x = 625 Or, 49x2┬а- 24x2┬а= 625 Or, 25x2┬а= 625 Or, x2┬а= 25 So, 'x' = 5 Therefore, perimeter of the square = 4 X 7x = 28x = 28 X 5 = 140 units

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