2004 AMC 8 Problem 14
Attempt Problem 14 of the 2004 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 2004 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
What is the area enclosed by the geoboard quadrilateral below?
Answer: C
Small hint:
Put the quadrilateral inside an easy surrounding square.
Big hint:
Subtract the outside rectangles and right triangles from the surrounding square.
Solution:
Place the quadrilateral inside the surrounding square, whose area is
The five outside pieces have areas and
The outside area is so the quadrilateral area is
Thus, C is the correct answer.
Problem 14 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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- 1998 AMC 8
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