Question

Two opposite sides of a parallelogram each have a length of `3`. If one corner of the parallelogram has an angle of `(3 pi)/4` and the parallelogram's area is `36`, how long are the other two sides?

Answer 1

The other two sides are `16.97(2dp)` unit long.

Explanation:

We know the area of the parallelogram as `A_p=s_1*s_2*sin theta`
Here `s_1=3 ; theta=(3pi)/4=(3*180)/4=135^0 ;A_p=36; s_2=?`
`s_2=A_p/(s_1*sintheta) = 36/(3*sin135)=12/sin135=16.97(2dp)`.

The other two sides are `16.97(2dp)`unit long.[Ans]