Max Area Three Sides Rectangle

This example demonstrates how to construct a rectangle with maximum area given three sides. It involves core mathematical concepts such as area calculation, rectangle construction, similarity transformation, and optimization. The construction uses commands like Polygon and LaTeX, along with objects like width, lower left, upper left, upper right, lower right, polygon1, lower left point, upper left point, upper right point, lower right point, text1, Area, text2, text3, variable A, variable B, picture1, and text4. It is suitable for high school mathematics, particularly for teaching and exploring geometric optimization problems.