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 .

THINGS TO TRY

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Related Curriculum Standards

US Common Core State Standards, Mathematics