Question

Two opposite sides of a parallelogram each have a length of `4`. If one corner of the parallelogram has an angle of `( pi)/3` and the parallelogram's area is `64`, how long are the other two sides?

Answer 1

`b=18.48`

Explanation:

Area of the parallelogram is `=ab sin theta` where `a=4` is the side and `theta=(pi)/3` and we have to find `b=?`
Therefore
Area`=64=4b sin((pi)/3)`
or
`bsin((pi)/3)=64/4`
or
`b(0.866)=16`
or
`b=16/0.866`
or
`b=18.48`