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prealgebra intermediate

Problem

Let be a square piece of paper. is folded onto and then is folded onto . The area of the resulting figure is 9 square inches. Find the perimeter of square .
problem
Solution
After folding the square twice the resulting figure is isosceles triangle with area 9 square inches. Since there are 4 such congruent triangles in the square, the area of the square is 36 square inches. Therefore, the sides of are 6 inches, and the perimeter is inches.
Final answer
24