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25 September, 06:45

A regular hexagon has perimeter 60 in. What is the hexagon's area?

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  1. 25 September, 08:20
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    P = 60 in

    P = 6 a

    6 a = 60

    a = 60 : 6

    a = 10 in

    The area:

    A = 6 · a² √3 / 4

    A = 6 · 10² √3 / 4 = 600√3 / 4 = 150 √ 3 in²

    Answer:

    The hexagon's area is 150√3 in².
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