Question

Two opposite sides of a parallelogram each have a length of `16`. If one corner of the parallelogram has an angle of `(5 pi)/8` and the parallelogram's area is `64`, how long are the other two sides?

Answer 1

The other two sides are `4.33(2dp)` unit long.

Explanation:

We know, the area of the parallelogram as `A_p=s_1*s_2*sin theta`
Here `A_p=64 ; s_1=16 ; theta=(5*180)/8=112.5^0 :. s_2=A_p/(s_1*sin theta) = 64/(16 *sin112.5)=4.33(2dp)`

The other two sides are `4.33(2dp)`unit long.[Ans]