2008 AMC 8 Problem 4
Attempt Problem 4 of the 2008 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 2008 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
In the figure, the outer equilateral triangle has area the inner equilateral triangle has area and the three trapezoids are congruent. What is the area of one of the trapezoids?
Answer: C
Small hint:
Subtract the inner triangle area from the outer triangle area.
Big hint:
The remaining area is split equally among the three congruent trapezoids.
Solution:
The outer triangle has area , and the inner triangle has area .
So the three congruent trapezoids have total area , and each trapezoid has area .
Thus, C is the correct answer.
Problem 4 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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