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30 January, 00:25

a certain polygon has 9 sides. Two of the sides have length of a, and 4 sides each have length 3a. The lengths of the remaining three sides are 11,12, and 13. If the perimeter of the polygon is 92, what is the value of a?

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  1. 30 January, 02:44
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    92 = 11 + 12 + 13 + 2 (a) + 4 (3a)

    92 = 36 + 2a + 12a

    92 = 36 + 14a

    -36 - 36

    56 = 14a

    56/14 = 14a/14

    a = 4
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