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    Question

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

    square of side 40 cm. If difference between length and breadth of the rectangle is 8 cm, then find the length of the rectangle.
    A 55 cm Correct Answer Incorrect Answer
    B 45 cm Correct Answer Incorrect Answer
    C 60 cm Correct Answer Incorrect Answer
    D 40 cm Correct Answer Incorrect Answer
    E 72 cm Correct Answer Incorrect Answer

    Solution

    Perimeter of square = 40 × 4 = 160 cm Perimeter of rectangle = 1.40 × 160 = 224 cm Let, breadth of rectangle = ‘x’ cm So, length of rectangle = ‘x + 8’ cm So, 2(x + x + 8) = 224 Or, 2x + 8 = 112 Or, 2x = 104 Or, x = 52 Length of rectangle = 52 + 8 = 60 cm

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