1995 AMC 8 Problem 18
Attempt Problem 18 of the 1995 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 1995 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
18.
The area of each of the four congruent L-shaped regions of this -inch by -inch square is of the total area. How many inches long is the side of the center square?
Answer: C
Small hint:
The four L-shaped regions together make up of the square
Big hint:
The center square is the remaining fraction of the area; its side is the square root of its area
Solution:
The four L-shaped regions cover of the square, so the center square is the remaining of the total area.
The total area is square inches, so the center square has area and its side is inches.
Thus, the correct answer is C .
Problem 18 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
- 1994 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
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- 2012 AMC 8
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