2002 AMC 8 Problem 15
Attempt Problem 15 of the 2002 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 2002 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
Which of the following polygons has the largest area?
Answer: E
Small hint:
Break each polygon into unit squares and half-unit triangles.
Big hint:
Compare the five areas by counting full squares plus half-squares.
Solution:
The number of boxes enclosed by each polygon can be obtained by dividing the polygon into unit squares and right triangles with sidelength and adding up their values.
The unit squares count as and the triangles count as
has a total area of has has has and has
Thus, E is the correct answer.
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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