SOLUTION: the two longest sides of a pentagon are each three times as long as the shortest side. the other sides are each 8 meters longer than the shortest side. find the length of each side

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Question 98546: the two longest sides of a pentagon are each three times as long as the shortest side. the other sides are each 8 meters longer than the shortest side. find the length of each side if the perimeter is 79 meters.
Answer by stanbon(75887) About Me  (Show Source):
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the two longest sides of a pentagon are each three times as long as the shortest side. the other sides are each 8 meters longer than the shortest side. find the length of each side if the perimeter is 79 meters.
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Let the shortest side be x meters long.
Two longest sides are each 3x meters long.
Each of the two remainding sides is x+8 meters long.
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EQUATION:
x + 3x + 3x + x+8 + x+8 = 79
9x + 16 = 79
9x = 83
x = 83/9 meters
3x = 83/3 meters
x+8 = 155/9 meters
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Cheers,
Stan H.