2012 AMC 8 Problem 6
Attempt Problem 6 of the 2012 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photograph measures inches high and inches wide. What is the area of the border, in square inches?
Small hint:
Find the outside dimensions of the framed photograph.
Big hint:
Subtract the photograph area from the outside rectangle area.
Video solution:
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Written solution:
If we add inches on each side, we add inches total on both sides. This means that the dimensions of the outer part of the frame are The area of this is
However, we must take out the area of the inner part of the frame which has area
Therefore, the total area is
Thus, the answer is E .
Problem 6 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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