## Pick’s theorem to pick your brains!!

**Pick’s theorem:**

Consider a square lattice of unit side. A simple polygon (with non-intersecting sides) of any shape is drawn with its vertices at the lattice points. The area of the polygon can be simply obtained as square units, where B is number of lattice points on the boundary, I is number of lattice points in the interior of the polygon. Prove this theorem!

*Do you li*ke *this challenge?*

Nalin Pithwa.

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