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Rhombus Formula with Solved Examples

Rhombus formula: Explore more about the Rhombus formula with solved examples.

Rhombus Formula

A rhombus is a four-sided shape with all sides of equal length.

A rhombus is a parallelogram with four equal sides. It has two diagonals that are perpendicular to each other. The length of a rhombus’ diagonal is the length of its hypotenuse. The area of a rhombus is equal to the length of one of its sides times the length of its height.

The formula for the area of a rhombus is

A = (base * height) / 2

where base and height are the lengths of the two shorter sides.

The perimeter of a rhombus is P = 4 * side

where a side is the length of any four sides.

Calculate the Perimeter of a rhombus with side = 4.

P = 4 * 4

P = 16

Therefore, the perimeter of this rhombus is 16.

Finally, let’s calculate the perimeter of a rhombus with side = 5

Also see:

Calculate the perimeter of a rhombus with side = 5

P = 4 * 5

P = 20

Therefore, the perimeter of this rhombus is 20.

Calculate the perimeter of a rhombus with side = 3

P = 4 * 3

P = 12

Therefore, the perimeter of this rhombus is 12.

Calculate the perimeter of a rhombus with side = 6

Now let’s calculate the perimeter of a rhombus with sides of length 6.

P = 4 * 6

P = 24

Therefore, the perimeter of this rhombus is 24.

As you can see, the perimeter of a rhombus is simply four times the length of one side. The area is a bit more complicated but still not too difficult to calculate once you know the base and height. Remember that the base and height are not necessarily the same as the sides – they are just two shorter sides of the rhombus.

Solved Examples:

1. Calculate the area of a rhombus with base = 5 and height = 3.

A = (5*3) / 2

A = 15 / 2

A = 7.5

Therefore, the area of this rhombus is 7.5.

2. Calculate the area of a rhombus with base = 3 and height = 3.

A = (3*3) / 2

A = 9 / 2

A = 4.5

Therefore, the area of this rhombus is 4.5.

3. Calculate the area of a rhombus with base = 6 and height = 4

A = (6*4) / 2

A = 24 / 2

A = 12

Therefore, the area of this rhombus is 12.

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Get answers to the most common queries related to Rhombus Formula

What is the area of a rhombus?

The area of a rhombus is A = (base * height) / 2, where base and height are the lengths of the two shorter sides....Read full

What is the perimeter of a rhombus?

The perimeter of a rhombus is P = 4 * side, where a side is the length of any four sides.

What is the advantage of the rhombus formula?

The area and perimeter of a rhombus are both important to know to calculate the shape’s size. The area is used...Read full

What are the cons of the rhombus formula?

The cons of the rhombus formula are the length of the two shorter sides added together. This is also the same as the...Read full