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    Question

    Perimeter of a rectangle is 40% more than that of a

    square of side 25 cm. If the difference between the length and breadth of the rectangle is 12 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 = 25 X 4 = 100 cm Perimeter of rectangle = 1.40 X 100 = 140 cm Let the breadth of rectangle be 'x' cm So, length of rectangle = 'x + 12' cm ATQ, 2(x + x + 12) = 140 Or, 2x + 12 = 70 Or, 2x = 58 So, 'x' = 29 Length of rectangle = 'x + 12' = 29 + 12 = 41 cm

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