Answer:
9 square units
Explanation:
Create a rectangle around the polygon of the dimensions:
4 spaces wide, 4 spaces tall
The area of the rectangle is 4 * 4 = 16.
Subtract the non shaded triangles which aren't taken up by the polygon:
There are two 1 by 3 triangles, one 2 by 1 triangle, and one 2 by 3 triangle.
The total sum of these areas is:
2 * [(1 * 3) / 2] + [(2 * 1) / 2] + [(2 * 3) / 2]
= 3 + 1 + 3
= 7
So, the area of the polygon is 16 - 7 = 9 square units.