# Two opposite sides of a parallelogram each have a length of 14 . If one corner of the parallelogram has an angle of (3 pi)/4  and the parallelogram's area is 70 , how long are the other two sides?

Aug 26, 2016

$= 3.54$

#### Explanation:

Area of Parallelogram $= 70 = a b \sin \theta$ where $a = 14$ and b=? and $\theta = \frac{3 \pi}{4}$
or
$70 = 14 \times b \times \sin \left(\frac{3 \pi}{4}\right)$
or

$b = \frac{70}{14} \times \left(0.707\right)$

or

$b = 5 \times \left(0.707\right)$

or

$b = 3.54$