Perimeter of Rhombus Formula - Testbook.com - www.bijoux-oeil-de-tigre.com

A rhombus is an intriguing geometrical shape, often referred to as a diamond due to its unique shape. It is a flat figure defined by four equal sides and non-right angles. The term "perimeter" refers to the total distance around the rhombus. Interestingly, a square can also be classified as a type of rhombus as it meets all the criteria of a rhombus.

Characteristics of a Rhombus include:

Equal length of all sides.
Parallelism of opposite sides.
The presence of an altitude, which is the perpendicular distance between two parallel sides.
Diagonals that intersect each other at right angles.

Calculating the Perimeter of a Rhombus

The formula to determine the perimeter of a rhombus is as follows:

\[\large P=4\times a\]

Here, 'a' represents the length of the side of the rhombus.

Illustrative Example

Problem: Determine the perimeter of a rhombus with a side length of 6 cm.

Solution:

Given,
a = 6 cm

The perimeter of a rhombus = 4 × a
The perimeter of a rhombus = 4 × 6
The perimeter of a rhombus = 24 cm

Frequently Asked Questions

What is a rhombus?

A rhombus is a flat shape with four equal sides and four angles that are NOT necessarily 90 degrees. It is also often called a diamond or diamond-shaped object.

What is the formula of the perimeter of a rhombus?

The formula of the perimeter of a rhombus is P=4×a, where 'a' is the length of the side of the rhombus.

How to calculate the perimeter of a rhombus?

The perimeter of a rhombus can be calculated using the formula P=4×a, where 'a' is the length of the side of the rhombus. For example, if the side of a rhombus is 5 cm, then its perimeter would be 4×5=20 cm.

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