Squares are constructed on each of the sides of the triangle [ABC], as shown. If the perimeter of [ABC] is 17, then what is the perimeter of the nine-sided figure that is composed of the remaining three sides of each of the squares?
Since all three sides add up to 17, and the sides are the same as their respective squares, we can multiply 17 by 3 since the inner sides don't count, but the outer ones do. Let's say the sides are a b andc. we have 3a+3b+3c = 3*17 using the distributive property.
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