what is the area of the polygon

For this case, we must find the area of the figure shown.
We divide the figure into two rectangles, so the total area will be:
[tex]A_ {t} = A_ {1} + A_ {2}[/tex]
We have to:
[tex]A_ {1} = 4 * (4 + 4 + 11)\\A_ {1} = 4 * 19\\A_ {1} = 76 \ square \ units[/tex]
On the other hand:
[tex]A _{2} = 11 * 24\\A_ {2} = 264 \ square \ units[/tex]
Then, the total area is:
[tex]A_ {t} = 76 \ square \ units + 264 \ square \ units\\A_ {t} = 340 \ square \ units[/tex]
ANswer:
Option B
The correct answer is Option (B) 340 sqr units
If we divide the figure into two rectangles and find the areas. \then adding them will give us 340. Look at the attached figure