Perimeter of Rhombus Formula

When a Rhombus is concerned, it is a flat shape with four same sides and four angles that are NOT necessarily 90 degrees. A rhombus is often called as a diamond or diamond shaped. The total distance traveled 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 condition 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 to two sides.
  • The diagonals of a rhombus bisect each other at 90 degrees.

The perimeter of a rhombus is given as:

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

Solved Examples

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

Solution:

Given,
a = 5 cm

Perimeter of a rhombus = 4 × a
Perimeter of a rhombus = 4 × 5
Perimeter of a rhombus = 20


Practise This Question

Raman had to draw an isosceles triangle with base angles measuring 65 each and base length of 5cm. Raman said the given data is insufficient. Is he correct?