# Algebra

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The backyard of a house is in the shape of a triangle. The longest side is 4 ft shorter than twice the shortest side. The third side is 4 ft less than the longest side. If the perimeter of the yard is 162 ft, what are the lengths of the sides?

• Algebra -

s = shortest side
the three sides are thus
s, 2s-4 and 2s-4-4

s + 2s-4 + 2s-8 = 162
5s = 174
s=34.8

34.8 + 65.6 + 61.6 = 162

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