ANSWER
36√3 square units.
EXPLANATION
The area of a parallelogram is obtained by multiplying the base by the height.
We use the sine ratio to obtain the height.
[tex] \sin(60 \degree) = \frac{h}{6} [/tex]
[tex]h = 6 \sin(60 \degree) [/tex]
[tex]h = 3 \sqrt{3} [/tex]
The area becomes:
[tex]12 \times 3 \sqrt{3} = 36 \sqrt{3} {units}^{2} [/tex]