Answer:
44 units²
Step-by-step explanation:
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
[tex]A=i+\dfrac{b}{2}-1[/tex]
where i is the number interior lattice points, and b is the number of boundary lattice points.
Look at the picture.
i = 38
b = 14
Substitute:
[tex]A=38+\dfrac{14}{2}-1=38+7-1=44[/tex]
