# Height of a Parallelogram Formula

Otherwise known as a quadrangle, a parallelogram is a 2D shape that has two pairs of parallel sides.

The base and height of the parallelogram are perpendicular. The diagonals of a parallelogram bisect each other. The formula for the height of the parallelogram is as follows:

The base and height of the parallelogram are perpendicular. The diagonals of a parallelogram bisect each other. The formula for the height of the parallelogram is as follows:

## Formula of Height of a Parallelogram

\[\LARGE Height=\, \frac{Area}{Base}\]

### Solved example:

Question. What will be the height of the parallelogram if the area is 30 Sq inch and the base of a parallelogram is 6 inch, then find the height of a parallelogram ?

Solution.

The height of the parallelogram is

$Height=\, \frac{Area}{Base}$

a= 30, b = 6

H = $\frac{30}{6}$ = 5cm

Hence, the height is 5 cm.