2001 AMC 8 Problem 9
Attempt Problem 9 of the 2001 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 2001 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
9.
The large kite is covered with gold foil. The foil is cut from a rectangular piece that just covers the entire grid. How many square inches of waste material are cut off from the four corners?
Answer: D
Small hint:
Tripling both dimensions multiplies area by
Big hint:
The waste area equals the large kite area
Solution:
The area of the entire grid would be The area of the kite is one-half this area from the formula for the area of the kite, so the wasted material is
Thus, D is the correct answer.
Problem 9 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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