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    Question

    If the area of a regular hexagon is 384√3

    cm2, then find the perimeter of the same hexagon.
    A 24 cm Correct Answer Incorrect Answer
    B 36 cm Correct Answer Incorrect Answer
    C 84 cm Correct Answer Incorrect Answer
    D 96 cm Correct Answer Incorrect Answer

    Solution

    Let the length of each side of the hexagon be ‘a’ cm. Area of regular hexagon = 6 × (√3/4) × a2 ATQ; 384√3 = 6 × (√3/4) × a2 Or, a2 = 256 So, a = 16 Required perimeter = 16 × 6 = 96 cm

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