The missing rectangular piece on the left side has dimensions of 6 (height) and 2 (width), so the area of this missing piece is 6 x 2 = 12 square units.
The area of the original polygon is equal to the sum of the areas of the top, right, bottom, and left sides minus the area of the missing piece.
Area = (6 x 8) + (8 x 6) + (6 x 8) - 12
Area = 48 + 48 + 48 - 12
Area = 132 - 12
Area = 120 square units
The area of the figure is 120 square units.