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    Question

    Find the area of a regular hexagon if its side is

    two-fifths the side of a square with perimeter 100 cm.
    A 100√3 cm² Correct Answer Incorrect Answer
    B 122√3 cm² Correct Answer Incorrect Answer
    C 110√3 cm² Correct Answer Incorrect Answer
    D 150√3 cm² Correct Answer Incorrect Answer

    Solution

    ATQ,

    Side of square = (100/4) = 25 cm

    Side of regular hexagon = (2/5) × 25 = 10 cm

    Area of regular hexagon = 6 × (√3/4) × side²

    = 6 × (√3/4) × 10²

    = 6 × (√3/4) × 100

    = 150√3 cm²

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