Question

Two opposite sides of a parallelogram have lengths of `3`. If one corner of the parallelogram has an angle of `pi/8` and the parallelogram's area is `15`, how long are the other two sides?

Answer 1

Other two sides are `13.07` units long.

Explanation:

Area of a parallelogram with two pair of sides `a` and `b` and included angle `theta` is given by `a*b*sintheta`.

As area of given parallelogram is `15`, one pair of sides is `3` units and included angle is `pi/8`'

Hence we have `3xxbxxsin(pi/8)=15`

or `3xxbxx0.3827=15`

or `b=15/(3xx0.3827)=13.07`