Problem:
A square piece of paper, inches on a side, is folded in half vertically. Both layers are then cut in half parallel to the fold. Three new rectangles are formed, a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle
Answer Choices:
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Solution:
The dimensions of the new rectangles are shown. The perimeter of a small rectangle is inches and for the large one it is inches. The ratio is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions