2001 AMC 8 Problem 16
Attempt Problem 16 of the 2001 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2001 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
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: E
Small hint:
After folding, the paper is a rectangle
Big hint:
The small rectangles are
Solution:
The square is folded in half to create a rectangle.
Cutting the folded paper in half parallel to the fold gives two small rectangles and one large rectangle.
The ratio of the perimeter of a small rectangle to the perimeter of the large rectangle is
Thus, E is the correct answer.
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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