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    Question

    A square and a rectangle have equal perimeters. The

    rectangle has length 18 cm and breadth 10 cm. What is the circumference of a semicircle whose radius equals the side of the square?
    A 72 cm Correct Answer Incorrect Answer
    B 42 cm Correct Answer Incorrect Answer
    C 65 cm Correct Answer Incorrect Answer
    D 84 cm Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Perimeter of the rectangle = 2(18 + 10) = 2 ├Ч 28 = 56 cm

    Perimeter of the square = 4 ├Ч length of each side of square

    56 = 4 ├Ч length of each side of square

    So, length of each side of square = 14 cm

    Radius of the semicircle = 14 cm

    Circumference of the semicircle = ╧Аr + 2r = (22/7) ├Ч 14 + 2 ├Ч 14 = 44 + 28 = 72 cm

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