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1 October, 12:17

The sides of the pentagon are consecutive even integers. Find the length of the shortest side if the second longest side is 24% of the perimeter.

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  1. 1 October, 15:17
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    6 units

    Step-by-step explanation:

    There are 5 sides in a pentagon. If the shortest side is x, then the other 4 sides are x+2, x+4, x+6, and x+8.

    The perimeter is therefore:

    P = x + x+2 + x+4 + x+6 + x+8

    P = 5x + 20

    The second longest side (x+6) is 24% of the perimeter.

    x + 6 = 0.24 (5x + 20)

    x + 6 = 1.2x + 4.8

    1.2 = 0.2 x

    x = 6

    The length of the shortest side is 6 units.
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