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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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