The area of the figure can be calculated by finding the area of the entire polygon and then subtracting the area of the missing rectangular piece.
Area of the entire polygon = (6+6) * 8 / 2 = 48 square units
Area of the missing rectangular piece = 6 * 2 = 12 square units
Therefore, the area of the figure is 48 - 12 = 36 square units.
So, the answer is 36 square units.