The figure appears to be a rectangle with a part being cut off in a rectangular shape as well.
To be able to get the area of the shaded figure, we subtract the area of the big rectangle as a whole by the area of the rectangular cut part.
Given:
Dimension of the shaded rectangle (Whole),
Length = Dx = 12 - 2 = 10 Units
Width = Dy = 8 - 1 = 7 Units
Dimension of the unshaded part,
Length = Dx = 10 - 4 = 6 Units
Width = Dy = 3 - 1 = 2 Units
Let's now determine the area of the shaded part:
[tex]\text{ Area}_{SHADED}\text{ = (10 x 7) - (6 x 2)}[/tex][tex]\text{ = 70 - 12}[/tex][tex]\text{ Area}_{SHADED}\text{ = 58 Units}^2[/tex]Therefore, the area of the shaded figure is 58 squared units.
