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 `5`. If the angle between sides A and C is `(5 pi)/6`, what is the area of the parallelogram?

Answer 1

`2.5`

Explanation:

Area of a parallelogram is given by `axxbxxsintheta` where `a` and `b` are two sides and `theta` is angle between them. Hence in this case Ares is `1xx5xxsin(5pi/6)` or

`5xx(1/2)` or `2.5`.