Rhombus

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

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

rhombuses
A rhombus looks like a diamond

right arrow All sides have equal length
right arrow Opposite sides are parallel, and opposite angles are equal (it is a Parallelogram).
right arrow The altitude is the right angle distance between opposite sides
right arrow And the diagonals "p" and "q" of a rhombus bisect each other at right angles.

rhombus measure s and altitude

Play with a rhombus:

images/geom-quad.js?mode=rhombus

Area of a Rhombus

rhombus measure s and altitude

The Area can be calculated by:

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

Area = (6 m × 8 m)/2 = 24 m2

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.

rhombus perimeter  

The Perimeter is 4 times "s" (the side length)
because all sides are equal in length:

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.

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).

bullroarer

The name "rhombus" comes from the Greek word rhombos: a piece of wood whirled on a string to make a roaring noise! What we might call a "bullroarer".

 

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