Question

Find the area of a parallelogram with sides of 12 inches and 8 inches if one of the angles is 120

degrees

Answer 1

48√3 sq. in.

Explanation:

I know this is correct bc I just had this question and this was the correct answer

Answer 2

Area= base x height
We know that one angle is 120 degrees, and therefore obtuse.
By which, the angle is 30 degrees past what a square would be (90 degrees on all angles).
To solve for the height, we just need to use the cosine function. In this case, cos(30) = h/8. Therefore, the height of the parallelogram is 8cos(30) = 4*sqrt(3) Meaning the area is equal to 48*sqrt(3)