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Assume each side of the hexagon is worth 10 units. Calculate the apothem, using the fact that it is part of a special triangle to get the answer exactly. Then use the exact value of the apothem to calculate the area of the hexagon.

  • Geometry -

    the apothem is the altitude of an equilateral triangle of side 10: 5√3

    area = 1/2 apothem * perimeter = 1/2 * 5√3 * 10 = 25√3

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