# Maximizing the Area of a Rectangle with Fixed Perimeter

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Drag the locators to vary the width of the rectangle and see the effect on its area. For a rectangle with a perimeter of 40, the height is always 20 minus the width. This allows you to reduce the formula for the area, , to . Elementary calculus shows that this formula is at a maxiumum when .

Contributed by: Chris Boucher (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

detailSectionParagraph## Permanent Citation

"Maximizing the Area of a Rectangle with Fixed Perimeter"

http://demonstrations.wolfram.com/MaximizingTheAreaOfARectangleWithFixedPerimeter/

Wolfram Demonstrations Project

Published: March 7 2011