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.^{[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.
Given the length (l) and width (w) of a rectangle:
Formula  Description 
A = l·w  The 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. 
 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
 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
 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. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/rectangle.html.
Image Credits
Revision History
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.)