2012 AMC 8 Problem 5
Attempt Problem 5 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).
5.
In the diagram, all angles are right angles and the lengths of the sides are given in centimeters. Note the diagram is not drawn to scale. What is , in centimeters?
Answer: E
Small hint:
Add the vertical lengths on each side of the shape.
Big hint:
The left and right total heights must be equal.
Video solution:
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Written solution:
First, we can find the height of the object by getting the sum of the heights on the right. Therefore, the height is
Next, we can find the height of the object by getting the sum of the heights on the left. Therefore, the height is
Since the heights are the same, we know so
Thus, the answer is E .
Problem 5 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
- 1994 AMC 8
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- 1998 AMC 8
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