geometry

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A regular heptagon has an apothem of approximately 6.5 ft and a perimeter of approximately 44.1 ft . Based on these measurements, what is the area of the heptagon?

  • geometry -

    if the perimeter of the heptagon (7 sides) is appr 44.1 ,then each side is appr 6.3

    look at one of the 7 equal isosceles triangles that can be formed
    area of one of those = (1/2)(6.3)(6.5) = 20.475
    so the area of the heptagon is 7(20.475) = 143.325
    or
    appr 143.3

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