Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `7` and sides C and D have a length of `5`. If the angle between sides A and C is `(7 pi)/18`, what is the area of the parallelogram?

Answer 1

`A~~ 16.44`

Explanation:

The area of a parallelogram is always `A = 1/2Bh` where `B` is the base and `h` is the height. We need to use the data given to calculate the height.

`h/C = sin((7pi)/18)`

`h = Csin((7pi)/18) = 5sin((7pi)/18)`

Area `A = 1/2*7*5sin((7pi)/18)`

`A~~ 16.44`