Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `9` and sides C and D have a length of `4`. If the angle between sides A and C is `(5 pi)/12`, what is the area of the parallelogram?

Answer 1

Area of parallelogram is `34.7724`.

Explanation:

Area of a parallelogram is given by `axxbxxsintheta`,

where `a` and `b` are two sides of a parallelogram and `theta` is the angle included between them.

As sides are `9` and `4` and included angle is `(5pi)/12` we have

`Area=9xx4xxsin(5pi)/12=36xx0.9659=34.7724`