Find the area of the following shape. you must show all work to receive credit.

Step-by-step explanation:

Use the Pick's theorem

Let P be a polygon in the plane whose vertices have integer coordinates. Then the area of P can be determined just by counting the lattice points on the interior and boundary of the polygon!

In fact, the area is given by

where i is the number interior lattice points, and b is the number of boundary lattice points.

Look at the picture.

Substitute:

.mp4 files, because, video