Question

Two opposite sides of a parallelogram have lengths of `8`. If one corner of the parallelogram has an angle of `pi/8` and the parallelogram's area is `24`, how long are the other two sides?

Answer 1

`b=7.84`

Explanation:

`Area=ab sin theta` where `a` and `b` are the sides and `theta` is the angle
`Area=24`; `a=8`;`theta=pi/8`;we have to find `b=?`
Hence we get
`24=8bsin(pi/8)`
`bsin(pi/8)=24/8`
or
`b sin(pi/8)=3`
or
`b(0.383)=3`
or
`b=7.84`