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 The 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,

Height of Parallelogram Formula:

Height of the Parallelogram = Area/Length of the Base

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,

Height of the Parallelogram = Area/Length of the Base

Height = 144/24

Height = 6 units

Answer: The 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 given rhombus

Given: 

Area = 120

Base = 12

Since a rhombus is a special case for a parallelogram, we can find its height using the height of parallelogram formula as,

Height of the Parallelogram = Area/Length of the Base

Height = 120/12

Height = 10 units

Answer: The height of the rhombus is 10 units.