Question

Two opposite sides of a parallelogram have lengths of `12`. If one corner of the parallelogram has an angle of `pi/8` and the parallelogram's area is `32`, how long are the other two sides?

Answer 1

`~=1`

Explanation:

Area of Parallelogram `=32=ab sintheta` where `a=12` and `b=?` and `theta=(pi)/8`
or
`32=12timesbtimessin((pi)/8)`
or

`b=32/12times(0.383)`

or

`b~=1`