Question

Find the area of a parallelogram with sides of 12 inches and 8 inches if one of the angles is 1200

48 sq. in
48V3 sq. in
96

Answer 1

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.