Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `5` and sides C and D have a length of `8`. If the angle between sides A and C is `(7 pi)/18`, what is the area of the parallelogram?

Answer 1

Area `~~ 37.59` sq. units

Explanation:

For a height, `h` relative to the side with length `8`,
by definition of `sin`
`color(white)("XXX")h = 5sin((7pi)/18)`

`Area = 8 * h`

`color(white)("XXX")=8 *5sin((7pi)/18) ~~37.5877`