Answer:
28 square units.
Step-by-step explanation:
Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.
As we see in the figure the area [tex]A_T[/tex] of the triangle is
[tex]A_T= \frac{1}{2} (2)(4)=4\: units^2[/tex].
The area [tex]A_{r1}[/tex] of the bigger rectangle is (it's actually a square )
[tex]A_{r1}=4*4=16\:units^2[/tex],
and the area of the smaller rectangle is
[tex]4*2 =8\:units^2[/tex].
Therefore, the total area [tex]A_{tot}[/tex] of the shape is
[tex]A_{tot}= A_T+A_{r1}+A_{r2}[/tex]
[tex]A_{tot}= 4\:units^2+16\:units^2+8\:units^2[/tex]
[tex]\boxed{A_{tot}=28 \:units^2}[/tex]
