Lattice polygons are polygons are formed by connecting dots on square dot paper. (On a coordinate graph, the coordinates of the vertices are integers.).

The lattice polygon below is a rectangle whose dimensions are 2 units by 4 units. Its area is 8 square units.

(1) Can you make a small change to the rectangle so that the area of the new polygon is 6 square units? There are lots of ways to do this.

(2) How many different kinds of polygons can you make on a geoboard with an area of exactly 6 square units? Can you make a triangle? a quadrilateral? a 5-sided figure? 6-sided? 7-sided? 8-sided?

It is convenient to use this online geoboard: Geoboard

For the solution, click below: