1989 AJHSME Problems/Problem 24
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Problem
Suppose a square piece of paper is folded in half vertically. The folded paper is then cut in half along the dashed line. Three 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?
Solution
From here on a blue line represents a cut, the dashed line represents the fold.
From the diagram, we can tell the perimeter of one of the small rectangles is 
and the perimeter of the large rectangle is 
. The desired ratio is 
See Also
| 1989 AJHSME (Problems • Resources) | ||
| Preceded by Problem 23 | Followed by Problem 25 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
