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    Question

    Perimeter of a rectangle is 60% more than that of a

    square of side 20 cm. If the difference between the length and breadth of the rectangle is 10 cm, respectively, then find the length of the rectangle.
    A 35 cm Correct Answer Incorrect Answer
    B 37 cm Correct Answer Incorrect Answer
    C 27 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Perimeter of square = 20 X 4 = 80 cm Perimeter of rectangle = 1.60 X 80 = 128 cm Let the breadth of rectangle be 'x' cm So, length of rectangle = 'x + 10' cm ATQ, 2(x + x + 10) = 128 Or, 2x + 10 = 64 Or, 2x = 54 So, 'x' = 27 Length of rectangle = 'x + 10' = 27 + 10 = 37 cm

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