Answer: SECOND OPTION
Explanation:
The area of a parallelogram can be calculated with this formula:
![A=bh](https://img.qammunity.org/2020/formulas/mathematics/college/yuf6lcra082i9rwttsf9hghwp7q1fo1152.png)
Where "b" is the of one base and "h" is the height.
You can observe in the figure that "b" and "h" are:
![b=AB=4√(2)ft\\\\h=AX=3ft](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mjmt7jqcccv85frwpuqcd176bf9xjr7jpe.png)
Then, substituting these values into the formula, you get that the area of the given parallelogram is:
![A=(4√(2)ft)(3ft)\\\\A=12√(2)ft^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/85yhwikg9t0k9na1njy5uvwq9xiaoj34wp.png)
This matches with the second option.