# A parallelogram has sides with lengths of #14 # and #8 #. If the parallelogram's area is #84 #, what is the length of its longest diagonal?

##### 1 Answer

May 16, 2016

The longest diagonal

#### Explanation:

The parallelogram with sides

Solving for

Associating now an oriented segment to each side we get

The two diagonals are obtained as

Computing their length we get