# Height Of A Parallelogram Formula

## 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 Formula is the perpendicular distance between the base of the parallelogram and the parallel sides. Students must take a look at the  Height Of A Parallelogram Formula equation, along with the example which has been solved on the Extramarks website.

## What Is The Height of A Parallelogram Formula?

The formula for the  Height Of A Parallelogram Formula given the area of ​​the parallelogram and the length of the base is:

Height Of A Parallelogram Formula

Parallelogram height = area/base length

### Height Of Parallelogram Formula:

The Height Of A Parallelogram Formula will help students calculate the height of a parallelogram. The height of a parallelogram is the perpendicular distance between the base and the opposite parallel side. A parallelogram can be defined as a quadrilateral with opposite sides parallel and equal in length. The diagonals are also equal.

The 8 of a parallelogram is calculated using the formula equal to the base times the area times the height. So if students know the area of ​​a parallelogram, its height is calculated by dividing the area by the base. The height of the parallelogram formula is derived from the area formula, and the length and height of the base of the parallelogram can be used to find the area of ​​the parallelogram.

Perimeter is defined as the sum of all sides used to construct a closed figure. A parallelogram has four sides that are equal, so the perimeter is the sum of all four sides. Measure the opposite sides as X and Y.

Perimeter of parallelogram = X + Y + X + Y = 2X + 2Y = 2(X + Y)

circumference = 2(X + Y)

### Examples Using Height Of A Parallelogram Formula

Examples of using the Height Of A Parallelogram Formula are provided henceforth.

• Example 1: Calculate the height of a parallelogram with a base length of 24 units and a parallelogram area of ​​144 square units.

Solution:

Find: parallelogram height

Given the:

Area = 144

base = 24

Use the  Height Of A Parallelogram Formula

Parallelogram height = area/base length

Height = 144/24

height = 6 units

Answer: The parallelogram is 6 units high.

• Example 2: If the side of a diamond is 12 inches and the area of ​​the diamond is 120 square inches, what is the height of the diamond?

Solution:

Find: specified diamond height

Given the:

Area = 120

base = 12

A rhombus is a special case of a parallelogram, so students can find its height using the parallelogram height formula:

Parallelogram height = area/base length

Height = 120/12

height = 10 units

Answer: A diamond is 10 units high.

## 1. How would students define a parallelogram?

A parallelogram is a four-sided geometric object consisting of two pairs of parallel lines. In a parallelogram, opposite sides have equal lengths and opposite angles have equal angles.

## 2. How do students find the area of ​​a parallelogram?

The area of ​​a parallelogram will always be calculated using the formula:

Area = base area x height. There are also other methods mentioned in the article that can be used to find the area of ​​a parallelogram.

## 3. What is the parallelogram perimeter?

To find the perimeter of a parallelogram, sum all the sides to get the answer. The given formula gives the perimeter of a given parallelogram.

circumference = 2 (a + b)

where a and b are the side lengths of the parallelogram.