Answer:
19.5 square units
Explanation:
For small triangles defined by grid coordinates, Pick's theorem can be a quick and easy way to find the area. It tells you the area is ...
A = i +b/2 -1
where i is the number of interior grid points, b is the number of boundary grid points.
This triangle has 5 grid points on its boundary, (6, 6) and (3, 8) in addition to the vertex points. It has 18 interior grid points, so the area is ...
A = 18 +5/2 -1 = 19.5 . . . square units