Answer:
34.5 square units.
Explanation:
We can construct a 7 x 7 square around the polygon. Then, we measure the two right triangles that together, along with the polygon, make up the 7x7 square. The total measure of the two triangles is 15/2+7=14.5. Now we subtract that from the area of the square to get the area of the polygon. 49-14.5=34.5, so 34.5 square units is the answer.