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15 December, 18:42

the second side of a triangular deck is 5 feet longer than the shortest side, and the third side is 5 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 64 feet, what are the lengths of the three sides

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  1. 15 December, 22:20
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    first (shortest) side = x

    second side = x + 5

    third side = 2x - 5

    the perimeter = 64 ft and is equal x + (x + 5) + (2x - 5)

    x + x + 5 + 2x - 5 = 64

    4x = 64 |:4

    x = 16 ft

    x + 5 = 16 + 5 = 21 ft

    2x - 5 = 2 (16) - 5 = 27 ft

    Answer: 16ft, 21ft and 27ft.
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