Question

Two opposite sides of a parallelogram have lengths of `15`. If one corner of the parallelogram has an angle of `pi/4` and the parallelogram's area is `45`, how long are the other two sides?

Answer 1

Other two sides of parallelogram have lengths of `4.24` unit.

Explanation:

We know the area of the parallelogram as `A_p=s_1*s_2*sin theta`

Here `s_1=15 , theta= pi/4=180/4=45^0 ,A_p= 45 , s_2 = ?`

`s_2 = A_p/(s_1*sin theta) = 45/(15*sin 45) ~~ 4.24` unit

Other two sides of parallelogram have lengths of `4.24` unit [Ans]