2006 AMC 8 Problem 6
Attempt Problem 6 of the 2006 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 2006 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
The letter T is formed by placing two inch rectangles next to each other, as shown. What is the perimeter of the T, in inches?
Small hint:
Start with the perimeters of the two rectangles separately.
Big hint:
The shared interior segments are counted in the separate perimeters but not in the outside perimeter.
Solution:
If we found the total perimeter of the two rectangles separately, we would have gotten
In the letter T, we can see that their intersection removes a piece of length from each of the rectangles. Therefore, the perimeter of the T is
Thus, C is the correct answer.
Problem 6 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
- 1990 AMC 8
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