Question

A parallelogram has sides A, B, C, and D. Sides A and B have a length of `3` 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 `16.9704`

Explanation:

If `a` and `b` are sides of a parallelogram and included angle is `theta`,

then area of the parallelogram is given by `axxbxxsintheta`

As `a=3`, `b=8` and `theta=(3pi)/4`

Area of parallelogram is

`3xx8xxsin(3pi)/4=24xx1/sqrt2=12xxsqrt2=12xx1.4142=16.9704`