1998 AMC 8 Problem 6
Attempt Problem 6 of the 1998 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 1998 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
Dots are spaced one unit apart, horizontally and vertically. The number of square units enclosed by the polygon is
Answer: B
Small hint:
Move the slanted top triangle into the missing bottom space.
Big hint:
The polygon has the area of a rectangle.
Solution:
Consider the rectangle on the bottom. The triangular piece above that rectangle has the same area as the missing triangular piece below it. Rearranging one into the other gives a full rectangle, so the polygon’s area is
Thus, the correct answer is B .
Problem 6 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
- 1995 AMC 8
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