Rectangle

Pronunciation: /ˈrɛkˌtæŋ gəl/ ?

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
Manipulative 1 - Rectangle. Created with GeoGebra.

A rectangle is a quadrilateral (four sided figure) with vertices that make right angles.[1]

Properties of Rectangles

  • All rectangles have four sides.
  • The corners of rectangles are right angles
  • Opposite sides of a rectangle are congruent.
  • Opposite sides of a rectangle are parallel.
  • The diagonals of a rectangle are congruent.
  • The diagonals of a rectangle bisect each other.
  • All squares are also rectangles.
  • A rectangle is also a parallelogram.

Formulas for a Rectangle

Given the length (l) and width (w) of a rectangle:

FormulaDescription
A = l·wThe area of a rectangle is the length times the width.
P = 2·(l + w)The length of the perimeter of a rectangle is twice the length plus the width.
length of a diagonal = square root( l^2 + w^2 )The length of a diagonal of a rectangle is the square root of the length squared plus the width squared. This is derived using the Pythagorean Theorem.
Table 1: Formulas of a rectangle.

Tesselations of Rectangles

Tesselations of rectangles are found in many applications, including brick laying. Table 2 shows six tesselations of rectangles.

Tesselation of rectangles in the basket weave 1 form. Tesselation of rectangles in the basket weave 2 form. Tesselation of rectangles in the herring bone form.
Basket weave 1 Basket weave 2 Herring bone
Tesselation of rectangles in the running bond form. Tesselation of rectangles in the stack bond form. Tesselation of rectangles in the subway form.
Running Bond Stack Bond Subway

References

  1. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented, pg 29. Translated by Noetling, William A.M, C.E.. Silver, Burdett & Company, 1897. (Accessed: 2009-12-31). http://www.archive.org/stream/elementsofconstr00noetrich#page/29/mode/1up.
  2. rectangle. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=rectangle&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  3. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry, pg 77. D. Van Nostrand Company, 1908. (Accessed: 2010-01-02). http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/77/mode/1up/search/rectangle.

Educator Resources

  • McAdams, David E.. Rectangle Worksheet. lifeisastoryproblem.org. Life is a Story Problem. Life is a Story Problem LLC. 2010-03-15. http://www.lifeisastoryproblem.org/worksheets/rectangle01.pdf.

Printed Resources

Cite this article as:


Rectangle. 2009-12-31. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/rectangle.html.

Image Credits

Revision History


2009-11-13: Initial version (McAdams, David.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2005-2011 Life is a Story Problem LLC. All rights reserved.
Creative Commons License This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License