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Maximizing Trapezoid Area

Author:
Tim Brzezinski
Topic:
Area, Derivative, Optimization Problems, Trapezoid
Suppose both legs and one base of the isosceles trapezoid below each have length 1. (Drag black slider.) If this is so, determine the value of that maximizes the area of this isosceles trapezoid. Be sure to solve this problem first! How do your results compare with what this applet suggests?

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