SOLUTION: The perimeter of a quadrilateral (four sided polygon) is 29 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 2 inches lo
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Question 392684: The perimeter of a quadrilateral (four sided polygon) is 29 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 2 inches longer than the shortest side. Find the length of all the sides.
You can put this solution on YOUR website! let the 4 sides be a, b, c, d; (a is the longest, d is the shortest)
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Write an equation for each statement:
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The perimeter of a quadrilateral (four sided polygon) is 29 inches.
a + b + c + d = 29
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The longest side is twice as long as the shortest side.
a = 2d
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The other two sides are equally long
b = c
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and are 2 inches longer than the shortest side.
b = d + 2
c = d + 2
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Substitute in the perimeter equation
a + b + c + d = 29
2d + (d+2) + (d+2) + d = 29
5d + 4 = 29
5d = 29 - 4
d =
d = 5
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You should be able to find the other 4 sides now, see that they add up to 29
