[url=https://www.math.hmc.edu/funfacts/ffiles/10002.2.shtml]https://www.math.hmc.edu/funfacts/ffiles/10002.2.shtml[/url] gives an explanation of Pick's Theorem. When all vertices of a polygon have integer coordinates, the area of the polygon is given by the formula[br][br][math]Area\left(P\right)=i+\frac{b}{2}-1[/math][br]where [math]i[/math] is the number of interior lattice points (points with integer coefficients) and [math]b[/math] is the number of boundary lattice points.[br][br]Compute the area of the given polygon. You can check the box to see the correct answer for the area enclosed. It is possible that a non-polygon might be produced here. If so, produce a new problem and try that one.