Perimeter of Rhombus Formula

Rhombus is a flat shape with four equal sides and four angles that are NOT necessarily 90 degrees. A rhombus is often called as a diamond or diamond-shaped object. The total distance travelled along the border of a rhombus is the perimeter of a rhombus. We can also call a square as a rhombus because it satisfies all the conditions that a rhombus has.

Rhombus has:

  • All sides of equal length.
  • Opposite sides have to be parallel.
  • The altitude is a distance at right angles between two parallel sides.
  • The diagonals of a rhombus bisect each other at 90 degrees.

Formula of Perimeter of Rhombus

The perimeter of a rhombus is given as:

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

Here, a = Length of the side of the rhombus

Solved Example

Question: Find the perimeter of a rhombus having a side of 5 cm.

Solution:

Given,
a = 5 cm

The perimeter of a rhombus = 4 × a
The perimeter of a rhombus = 4 × 5
The perimeter of a rhombus = 20 cm

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