Rhombus Tutorial

Rhombus Definition:

A rhombus is a four-sided polygon in which every side has the same length. It is an equilateral quadrilateral.

Rhombus Formula :

Base Times Height Method :

Area of Rhombus = b * h

Diagonal Method :

Area of Rhombus = ½ * d₁ * d₂

Trigonometry Method :

Area of Rhombus = a² * SinA Perimeter of Rhombus = 4(a)

where

a = side, b = breadth, h = height, d₁, d₂ are diagonals

Rhombus Image/Diagram

Rhombus Example :

Case 1:

Find the area of a rhombus with the given base 3 and height 4 using Base Times Height Method.

Step 1:

Find the area. Area = b * h = 3 * 4 = 12.

Case 2:

Find the area of a rhombus with the given diagonals 2, 4 using Diagonal Method.

Step 1:

Find the area. Area = ½ * d₁ * d₂ = 0.5 * 2 * 4 = 4.

Case 3:

Find the area of a rhombus with the given side 2 using Trigonometry Method.

Step 1:

Find the area. Area = a² * SinA = 2² * Sin(33) = 4 * 1 = 4.

Case 4:

Find the perimeter of a rhombus with the given side 2.

Step 1:

Find the perimeter. Perimeter = 4(a) = 4 * 2 = 8. The above example will clearly illustrates how to calculate the Area, Perimeter of a Rhombus manually.

Rhombus Tutorial