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 `8`. If the angle between sides A and C is `(3 pi)/4`, what is the area of the parallelogram?

Answer 1

Area of parallelogram is `5.6568`.

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 `1` and `8` and included angle is `(3pi)/4` we have

`Area=1xx8xxsin(3pi)/4=8xx1/sqrt2=8x0.7071=5.6568`