Maximizing the Area of Some Geometric Figures of Fixed Perimeter

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This Demonstration illustrates a common type of max-min problem from a Calculus I course—that of finding the maximum area of a geometric figure of fixed perimeter. The figures available are a rectangle, a right triangle, an isosceles triangle, a Norman window (a rectangle topped by a semicircle), and a "side view of a house" (a rectangle topped by an equilateral triangle). The perimeter is 10 units for each figure.

Contributed by: Marc Brodie (Wheeling Jesuit University) (March 2011)
Open content licensed under CC BY-NC-SA


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