1998 AHSME Problem 29
Geometry
Level
3
A point (x,y) in the plane is called a lattice point if both x and y are integers. The area of the largest square that contains exactly three lattice points in its interior is closest to
4
4.5
5.6
4.2
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1 solution
Applying Pick's Theorem,
A = I + (B/2) - 1,
where A is the area, I is the number of points in the interior, and B is the number of points on the boundary
A = 3 + (4/2) - 1 = 4.