Maximizing the Area of Some Geometric Figures of Fixed Perimeter

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)

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.







Related Curriculum Standards