Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `1` and sides C and D have a length of `6`. If the angle between sides A and C is `(7 pi)/12`, what is the area of the parallelogram?

Answer 1

`~~5.8` sq.unit

Explanation:

Area of the parallelogram
PQRS = 2 `xx`area of triangle PQR
`=2xx1/2xxQRxxh=QRxxPQxxsintheta`
`=AxxCxxsin(7pi/12)`
`=1xx6xxsin(7pi/12)`
`=1xx6xx0.966~~5.8` sq.unit