Problem:
Let be a square piece of paper. is folded onto and then is folded onto . The area of the resulting figure is square inches. Find the perimeter of square .
Answer Choices:
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Solution:
After folding the square twice the resulting figure is an isosceles triangle with area square inches. Since there are such congruent triangles in the square, the area of the square is square inches. Therefore, the sides of are inches, and the perimeter is inches.
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Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions