Rectangle

Pronunciation: /ˈrɛkˌtæŋ.gəl/ Explain

Click on the blue points and drag them to change the figure. Can a rectangle also be a square? Manipulative 1 - Rectangle Created with GeoGebra.

A rectangle is a quadrilateral (four sided figure) with vertices that make right angles.[2] 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: The area of a rectangle is the length times the width. Formula Description A = l · w P = 2·(l + w) The length of the perimeter of a rectangle is twice the length plus the width. 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.

Tessellations of Rectangles

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

Basket weave 1	Basket weave 2	Herring bone
Running Bond	Stack Bond	Subway

References

1. McAdams, David E.. All Math Words Dictionary, rectangle. 2nd Classroom edition 20150108-4799968. pg 152. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented. pg 29. Translated by Noetling, William A.M, C.E.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/4/2018. http://www.archive.org/stream/elementsofconstr00noetrich#page/29/mode/1up. Buy the book
3. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry. pg 77. www.archive.org. D. Van Nostrand Company. 1908. Last Accessed 12/4/2018. http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/77/mode/1up/search/rectangle. Buy the book

Educator Resources

• McAdams, David E.. Rectangle Worksheet. lifeisastoryproblem.com. 3/15/2010. http://www.lifeisastoryproblem.com/worksheets/rectangle01.pdf.

Cite this article as:

McAdams, David E. Rectangle. 5/3/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/rectangle.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

5/3/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/4/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra app. (McAdams, David E.)
8/28/2018: Corrected spelling. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
5/5/2011: Initial version. (McAdams, David E.)