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Maximizing the Area of a Rectangle with Fixed Perimeter
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 .




"Maximizing the Area of a Rectangle with Fixed Perimeter" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/MaximizingTheAreaOfARectangleWithFixedPerimeter/
Contributed by: Chris Boucher
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