Logical geometry
A polygon is such that it
with exactly
grid points lying outside it.
Find the area of the polygon (in units) constructed on the given grid of equal distanced points such that all its vertices are on the grid points.
The answer is 10.
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1 solution
By Pick's Theorem
Area of the polygon, A = I + B / 2 − 1
where I are number of grid points inside the polygon and B are number of grid points on its boundary.
A = 1 0