1985 AMC 8 Problem 4
Attempt Problem 4 of the 1985 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 1985 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
The area of polygon in square units, is
Answer: C
Small hint:
Extend sides and to complete a full rectangle
Big hint:
Subtract the area of the small rectangular notch that was cut from the lower-left corner
Solution:
Completing the figure to the full rectangle gives an area of The piece removed from the lower-left corner is a rectangle measuring by with area
So the polygon’s area is
Thus, the correct answer is C .
Problem 4 in other years
- 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
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