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# Rhombus Calculator

Choose the method by which you want to calculate the area or perimeter of the rhombus in this calculator. After that enter the required values and hit **calculate**.

## Rhombus Calculator

This area of rhombus calculator can find the area of rhombus through three different methods:

- Base times height method
- Diagonal method
- Trigonometry method

You can find the perimeter of the rhombus also by entering the value of length.

## What is a rhombus?

A Rhombus is a quadrilateral with four equal sides and opposite equal acute and obtuse angles. A rhombus is also a parallelogram with equal sides.

It's like a lean square whose diagonals bisect each other but need not be 90 degrees. Rhombus is also sometimes called a 'diamond' or 'lozenge' shape.

All four sides of Rhombus are congruent. Its diagonals are perpendicular and bisect vertex angles.

### The formula of the area of the rhombus:

The area of a rhombus can be calculated through three different formulas. All of these formulas use different values to find the area.

**Base Times Height Method :**

Area of Rhombus = b * h

**Diagonal Method**** :**

Area of Rhombus = ½ x d_{1} x d_{2}

**Trigonometry Method**** :**

Area of Rhombus = a² * SinA

**Perimeter of Rhombus** = 4(a)

Where,

a = side

b = height, d_{1} and d_{2} diagonals

## How to calculate the area of rhombus?

**Examples:**

**Case 1:** Find the area of a rhombus with the given base 4 and height 5 using the Base Times Height Method.

**Solution:** Find the area.

Area = b * h = 4*5 = **20**.

**Case 2:** Find the area of a rhombus with the given diagonals 4,5 using the Diagonal Method.

**Solution:** Find the area.

**Area** = ½ * d_{1} * d_{2} = 0.5 * 4*5 = 20*0.5 = **10**

**Case 3:** Find the area of a rhombus with the given side 3 using Trigonometry Method.

**Solution****:** Find the area.

Area = a² * SinA = 3² * Sin(33) = 9* 1 = **9**.

**Case 4:** Find the perimeter of a rhombus with the given side 3.

**Solution****:** Find the perimeter.

Perimeter = 4(a) = 4 * 3 = **12**.