what is the area of the polygon

For this case, the total area of the polygon is given by;
[tex]A_ {t} = A_ {1} + A_ {2}\\A_ {1} = 12 * 6\\A_ {1} = 72 \ square \ units[/tex]
On the other hand we have to:
[tex]A_ {2} = (10-6) * (12-9)\\A _{2} = 4 * 3\\A_ {2} = 12 \ square \ units[/tex]
So, finally we have:
[tex]A_ {t} = A_ {1} + A_ {2}\\A_ {t} = 72 \ square \ units \ + \ 12 \ square \ units\\A_ {t} = 84 \ square \ units[/tex]
Answer:
Option B
The area of figure is 84 square units
See the attached figure for solution.