Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `8` and sides C and D have a length of `8`. If the angle between sides A and C is `(3 pi)/8`, what is the area of the parallelogram?

Answer 1

Area of given parallelogram is `59.13` square units.

Explanation:

Area of a parallelogram, whose one pair of sides have length `a`, other pair has sides of length `b` and included angle in `theta`, is given by `axxbxxsintheta`

Hence area of given parallelogram is `8xx8xxsin((3pi)/8)`

or `64xx0.9239=59.13` square units.