Maximizing the Area of a Rectangle with Fixed Perimeter
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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
"Maximizing the Area of a Rectangle with Fixed Perimeter"
Wolfram Demonstrations Project
Published: March 7 2011