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    Question

    A rectangle has a length of 22 cm and a width of 6 cm. A

    square has the same perimeter as this rectangle. What would be the circumference of a semicircle whose radius is the side length 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(22 + 6) = 2 × 28 = 56 cm

    Perimeter of the square = 4 × side of square

    56 = 4 × side of square

    So, side of square = 14 cm

    Radius of the semicircle = 14 cm

    Circumference of the semicircle = πr + 2r = (22/7) × 14 + 2 × 14 = 44 + 28 = 72 cm

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