# Rhombus

*(Jump to Area of a Rhombus or Perimeter of a Rhombus) *

A Rhombus is a flat shape with 4 **equal** straight sides.

**A rhombus looks like a diamond**

All sides have equal length | |

Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram). | |

The altitude is the distance at right angles to two sides | |

And the diagonals "p" and "q" of a rhombus bisect each other at right angles. |

Play with a rhombus:

## Area of a Rhombus

The Area can be calculated by:

- the altitude times the side length: Area = altitude × s
- the side length squared (s
^{2}) times the sine of angle A (or angle B):Area = s^{2}sin(A)Area = s^{2}sin(B) - by multiplying the lengths of the diagonals and then dividing by 2: Area = (p × q)/2

### Example: A rhombus has diagonals of 6 m and 8 m, what is its Area?

Area = (6 m × 8 m)/2 = **24 m ^{2}**

If you can draw your Rhombus, try the Area of Polygon by Drawing tool.

## Perimeter of a Rhombus

The Perimeter is the distance around the edges.

The Perimeter is Perimeter = 4s |

### Example: A rhombus has a side length of 12 cm, what is its Perimeter?

Perimeter = 4 × 12 cm = **48 cm**

## Is a Square a Rhombus?

Yes, because a square is just a rhombus where the angles are all right angles.

## Other Names

It is more common to call this shape a **rhombus**, but some people call it a **rhomb** or even a **diamond**.

The plural is **rhombi** or **rhombuses**, and, rarely, **rhombbi** or **rhombbuses** (with a double b).

The name "rhombus" comes from the Greek word *rhombos*: a piece of wood whirled on a string to make a roaring noise!