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The Perimeter of Rhombus Formula

The perimeter of rhombus formula: explore more perimeter of rhombus formula with solved example.

The Perimeter of Rhombus Formula

The rhombus is a two-dimensional figure. The rhombus is also known as equilateral quadrilateral as it has equal sides. Rhombus has opposite sides parallel and opposite sides are equal. Square and Rhombus have similar properties. All the sides of the rhombus and square are equal.

Perimeter is the total of its four sides or the sum of the length of boundaries. As all the sides of the Rhombus are the same, the length of one side is multiplied by 4.

Perimeter = 4(a)

“a” is the value of the side of the rhombus

Properties of Rhombus

  • Rhombus has 4 sides and all the sides are equal

  • Rhombus’s opposite sides are parallel 

  • Rhombus’s opposite angles are equal

  • Diagonals cut each other at right angle

  • Total of any two adjacent angles is always 180 degree

  • Diagonal divides the vertex angles

When diagonals are given and perimeter is to be found out

Perimeter = 2 √d12+ d22

When the perimeter is to be found out with diagonals, the side of the rhombus is found using the Pythagoras theorem. With the help of these below properties.

  • Rhombus bisects into 4 congruent at right angle triangle in two diagonals

  • Diagonals divide each other at right angle

The formula to find the area of a rhombus is

A = ½ x d1 x d2  

d1= Diagonal length  d1

d2 = Diagonal length d2

Area of rhombus when base and height of rhombus is provided

Area = B ✕ H

B= Base of Rhombus

H= Height of Rhombus 

Examples

1. Find the perimeter of the rhombus with diagonals 9 inches and 5 inches.

Perimeter = 2 √ d12+ d22

                 =2√92+52

               =2√106

               = 20.59 inches

Area of rhombus

A = ½ x d1 x d2

  = ½ x 9 x 5

  =22.5 inches

2. PQRS is a rhombus, one side is 6 units. Find the perimeter of PQRS.

As all sides of the rhombus are equal. A=6 

Perimeter = 4(a)

                 =4(6)            

                 = 24 units

3. ABCD is a rhombus. Its perimeter is 20. Find the side of the rhombus.

Given data, Perimeter=20

Perimeter = 4(a)

          20  = 4 (a)       

         20/4 = a

         a= 5

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Frequently Asked Questions

Get answers to the most common queries related to the The Perimeter of Rhombus Formula .

What is the principle of the perimeter of the rhombus?

Ans.  All the four sides of the rhombus are equal. The perimeter is four time...Read full

State the difference between Rhombus and Square?

Ans. The point of difference between rhombus and square is All th...Read full

Are rhombus and square the same?

Ans. Square can be considered a rhombus because all of its angles are 90 degrees. But every ...Read full