Answer:
48√3 sq in
Explanation:
The area is given by the formula ...
A = ab·sin(α)
where a and b are the side lengths, and α is the angle between them.
Here, the given values show the area to be ...
A = (12 in)(8 in)sin(120°) = (96 in²)(√3)/2
A = 48√3 in²
The area of the parallelogram is 48√3 in².