Height of a Parallelogram Formula
The height of a parallelogram formula is used to find the height of a parallelogram. The height of a parallelogram is the perpendicular distance between the base and parallel side to the base of the parallelogram.
Let us see more about the height of a parallelogram formula along with the solved examples in the next section.
What Is Height of a Parallelogram Formula?
The formula for the height of a parallelogram, when the area of the parallelogram and length of the base is known, is given below:
\(\text{Height of the Parallelogram} = \dfrac{\text{Area }}{\text{Length of the Base}}\)
Solved Examples Using Height of a Parallelogram Formula

Example 1:
Calculate the height of a parallelogram if the length of the base is 24 units and the area of the parallelogram is 144 square units.
Solution:
To Find: Height of the parallelogram
Given:
Area = 144
Base = 24
Using the height of a parallelogram formula,
\(\text{Height of the Parallelogram} = \dfrac{\text{Area }}{\text{Length of the Base}}\)
\( \text{Height} = \dfrac{144}{24} \)
Height = 6 units
Answer: Height of the parallelogram is 6 units.

Example 2:
What will be the height of a rhombus if the length of the side of the rhombus is 12 in and the area of the rhombus is 120 square in.
Solution:
To Find: Height of the parallelogram
Given:
Area = 120
Base = 12
Using the height of a parallelogram formula,
\(\text{Height of the Parallelogram} = \dfrac{\text{Area }}{\text{Length of the Base}}\)
\( \text{Height} = \dfrac{120}{12} \)
Height = 10 units
Answer: Height of the parallelogram is 10 units.