# Area of a Rhombus

How to find the area of a rhombus: formula, examples, and their solutions.

## Formula

*A* = (1/2)⋅*ab**A*: Area of a rhombus*a*, *b*: Diagonals

## Example 1

The diagonals area 12 and 7.

So *A* = (1/2)⋅12⋅7.

(1/2)⋅12 = 6

6⋅7 = 42

So *A* = 42.

## Example 2

The diagonals perpendicularly bisect each other.

So the right blue segment is 4.

Then the blue diagonal is, 4 + 4, 8.

And draw a right angle like this.

See this right trianle.

Starting from the shortest side,

the sides are ([brown side], 4, 5).

So this right triangle is a (3, 4, 5) right triangle.

Pythagorean triples

So the brown side is 3.

The brown diagonal is also bisected.

So the upper brown segment is 3.

Then the brown diagonal is, 3 + 3, 6.

For the rhombus,

the diagonals are 8 and 6.

So *A* = (1/2)⋅8⋅6.

(1/2)⋅8 = 4

4⋅6 = 24

So *A* = 24.