Perimeter of a Rhombus formulas| List of Perimeter of a Rhombus formulas You Should Know - BYJUS

# Perimeter of a Rhombus Formulas

The sum of the sides of the rhombus is called its perimeter. A quadrilateral with a rhombus shape has four equal-sized sides. In this article, let’s learn more about calculating the perimeter of a rhombus.Learn about the basic properties of rhombus and the perimeter of rhombus using the formula for the perimeter. Explore more with solved examples. ...Read MoreRead Less

### Introduction

A rhombus is a flat shape that has four equally sized sides and four potentially non-90° angles. A parallelogram is not always a rhombus, but a rhombus is always a parallelogram. Rhombuses are frequently referred to as diamonds or diamond-shaped objects. The perimeter of a rhombus is the entire distance traversed along its edge. Due to the fact that a square meets all the criteria for becoming a rhombus, we can also refer to a square as a rhombus. The length of each side is added to determine the perimeter of a rhombus, which is the overall measurement of its boundary, as mentioned earlier. Since each of the four sides of a rhombus has an equal length, the perimeter of a rhombus may be calculated using the formula,

Perimeter = 4a, where ‘a’ denotes  the length of the side of a rhombus. Inches, yards, millimeters, and other linear units are used to express the perimeter of a rhombus.

### The Fundamental Characteristics of a Rhombus

• All the sides are congruent
• Opposite sides are parallel to each other
• Height is the shortest distance between the parallel sides
• Diagonals bisect each other at 90 degrees

### Formula for the Perimeter of a Rhombus

Consider a rhombus with side length ‘a’. The perimeter is then 4a, which is equal to a + a + a + a.

As a result, P = 4a is the required formula. ### Solved Examples

Example 1: Find the perimeter of a rhombus having a side length of 6 centimeters.

Solution:

Given that, side length ‘a’ = 6 centimeters.

Using the formula for the perimeter of a rhombus.

P = 4a

P = 4 $$\times$$ 6

P = 24 centimeters.

Therefore, the perimeter of a rhombus having a side length of 6 centimeters is 24 centimeters.

Example 2: Find the perimeter of a rhombus having a side length of 12 inches.

Solution:

Given that, side length ‘a’ = 12 inches.

Using the basic formula of the perimeter of a rhombus.

P = 4a

P = 4 $$\times$$ 12

P = 48 inches.

Therefore, the perimeter of a rhombus having a side length of 12 inches is 48 inches.

Example 3: Find the perimeter of a plot shaped like a rhombus and which has a side length of 43 feet.

Solution:

Given that, side length of the plot ‘a’ = 43 feet.

Using the basic formula of the perimeter of a rhombus.

P = 4a

P = 4 $$\times$$ 43

P = 172 feet.

Therefore, the perimeter of the plot having a side length of 43 feet is 172 feet.