To find the area of the triangle, we can use the formula A = 1/2 * base * height.
First, we need to count the number of squares for the base and height.
For the base, we count from column 6 to column 1, which is 5 squares.
For the height, we count from row 2 to row 10, which is 8 squares.
Now, we plug these values into the formula:
A = 1/2 * 5 * 8 = 20 square units.
Therefore, the area of the non-right triangle is 20 square units.
Among the given options, the closest one is 24.5 square units.