You can put this solution on YOUR website! Look at the unshaded part, as it is easier.
The whole thing is 4 x 4 or 16 square units.
The bottom right corner is a right triangle with base 4 and altitude 3, so the area is 1/2 their product or 6.
The upper right corner has a 1 x 2 rectangle with 2 square units.
The upper left corner has two half squares with 1 square unit combined.
The triangle in the middle is obtuse with base 2 and altitude 1. Its area is 1 square unit.
The white area totals 10 square units.
Therefore, the shaded polygon has 6 square units area.
