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prealgebra intermediate

Problem

Cutting equilateral triangle out of square and translating it to the left of the square creates the shaded figure . The perimeter of square was 48 inches. What is the perimeter, in inches, of ?

problem
Solution
Originally, every side length of the square had a length of 12. Since the triangle is equilateral, each of its side lengths is also 12. There are now a total of 6 sides, making for a perimeter of .
Final answer
72