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    Question

    Find the area of a regular hexagon whose side is half of

    the side of a square whose perimeter is 152 cm.
    A 433.5√3 sq cm Correct Answer Incorrect Answer
    B 383.5√3 sq cm Correct Answer Incorrect Answer
    C 414.5√3 sq cm Correct Answer Incorrect Answer
    D 494.5√3 sq cm Correct Answer Incorrect Answer

    Solution

    Side of square = (152/4) = 34 cm

    Side of regular hexagon = (32/2) = 17 cm

    Area of regular hexagon = 6 X (√3/4) X side 2

    = 6 X (√3/4) X 17 2  = 433.5√3 cm 2

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