1996 AMC 8 Problem 22
Attempt Problem 22 of the 1996 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 1996 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
The horizontal and vertical distances between adjacent points equal unit. The area of triangle is
Answer: B
Small hint:
Assign coordinates to and and use the determinant formula for area
Big hint:
Alternatively use Pick’s theorem, area with interior points and boundary points
Solution:
Taking and the determinant formula gives
Equivalently, by Pick’s theorem with no interior lattice points and boundary points, the area is
Thus, the correct answer is B .
Problem 22 in other years
- 1985 AMC 8
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