Answer:
42.5 square units
Step-by-step explanation:
Pick's theorem probably provides the simplest approach to finding the area of this figure. It tells you the area of a figure drawn on grid points is given by ...
A = i + b/2 -1
where i is the number of grid points inside the figure, and b is the number of grid points on the boundary.
Here, we have three closed figures, shown in different colors in the attachment. The red figure has 31 boundary points and 26 internal points, so an area of ...
Ared = 26 +31/2 -1 = 81/2 = 40.5 . . . . square units
Each of the blue "feet" is 1 square unit, so the total area is ...
A = 40.5 + 1 + 1 = 42.5 . . . square units
