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prealgebra intermediate

Problem

Squares are constructed on each of the sides of triangle , as shown. If the perimeter of 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?
problem
Solution
Since all sides of a square have the same length, the perimeter of the nine-sided figure is equal to But we know that , the perimeter of . Therefore the perimeter of the nine-sided figure is .
Final answer
51