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    Question

    Perimeter of a rectangle is 50% more than that of a

    square of side 30 cm. If the difference between the length and breadth of the rectangle is 7 cm, respectively, then find the length of the rectangle.
    A 35.7 cm Correct Answer Incorrect Answer
    B 37.9 cm Correct Answer Incorrect Answer
    C 44.9 cm Correct Answer Incorrect Answer
    D 39.4 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Perimeter of square = 30 X 4 = 120 cm Perimeter of rectangle = 1.50 X 120 = 180 cm Let the breadth of rectangle be 'x' cm So, length of rectangle = 'x + 7' cm ATQ, 2(x + x + 7) = 180 Or, 2x + 7 = 90 Or, 2x = 83 So, 'x' = 41.5 Length of rectangle = 'x + 7' = 41.5 + 7 = 48.5 cm

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