Observe the figure, the shaded regions are rectangle figure and triangle figure.
\The base of the triangle is
and its height is
.
The area of the triangle is
.


Apply distributive property:
.

.
The length of the rectangle is
and its width is
.
The area of the rectangle is
.

Apply distributive property:
.

.
The area of shaded region is
.

Combine like terms.
\
.
The area of shaded region is
.