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 `(5 pi)/8`, what is the area of the parallelogram?

Answer 1

`=37`

Explanation:

Area of the Parallelogram `=ab sin theta` where `a=5 and b=8` are the sides and `theta=(5pi)/8` between the sides
So we can write
`Area=5times8timessin ((3pi)/8)`

`=40 times(0.924)`

`=37`