Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `6` and sides C and D have a length of `4`. If the angle between sides A and C is `(7 pi)/12`, what is the area of the parallelogram?

Answer 1

Area of parallelogram = 23.182 sq units.

Explanation:

Sides A, B = 6
Sides C, D = 4
Angle between A & C = `(7pi)/12`
Height of parallelogram `h=(C*sin(7pi)/12)`
`h=4*sin((7pi)/12)=` 3.864
Area of parallelogram `=l*h=A*h=6*3.8637=` 23.182