2015 AMC 8 Problem 21
Attempt Problem 21 of the 2015 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 2015 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
21.
In the given figure hexagon is equiangular, and are squares with areas and respectively, is equilateral and What is the area of
Answer: C
Small hint:
Find and from the two square areas.
Big hint:
In the diagram, is perpendicular to
Video solution:
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Written solution:
The square with area has side length Since is equilateral,
The square with area has side length Since we have
At the equilateral triangle, square, and equiangular hexagon contribute angles of and respectively. Hence Therefore
Thus, C is the correct answer.
Problem 21 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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