What is a Rhombus? - Area of a Rhombus
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What is a Rhombus?

Rhombus
Rhombus

A rhombus is a kind of quadrilateral that has two sides that are parallel to each other, and another two sides that are parallel to each other. A rhombus is a special kind of parallelogram, and squares and rectangles are special kinds of rhombus.

To figure out the perimeter of the rhombus, you can add the lengths of all the sides together. To figure out the area of a rhombus, you have to cut it into shapes that are easier to figure out. You want to cut it into a rectangle and two right triangles. Draw a line from one angle so that it is perpendicular to the opposite side, and another line from the opposite angle that is parallel to your first line, and also perpendicular to the opposite side. This will make a rectangle and two identical right triangles (one of them upside-down).

The area of the rectangle is the height multiplied by the width. The areas of the right triangles are the height multiplied by the width, divided by two. Add the areas of the triangles and the rectangle together, and you've got the area of your rhombus. (Because the two triangles are the same, you can just multiply the height by the width once and then add that to the area of the rectangle).

Rectangles
Squares
Trapezoids
Parallelograms
Quadrilaterals
More about Geometry

Bibliography and further reading about geometry:

More about Geometry
More Easy Math
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Professor Carr

Karen Eva Carr, PhD.
Assoc. Professor Emerita, History
Portland State University

Professor Carr holds a B.A. with high honors from Cornell University in classics and archaeology, and her M.A. and PhD. from the University of Michigan in Classical Art and Archaeology. She has excavated in Scotland, Cyprus, Greece, Israel, and Tunisia, and she has been teaching history to university students for a very long time.

Professor Carr's PSU page

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