Exploring Area and Perimeter of a Rectangle

This example demonstrates how to use GeoGebra to investigate the maximum area of a rectangle that can be enclosed by a given perimeter. Key math concepts include perimeter, area, geometric optimization, and algebraic calculations. The construction utilizes commands like Polygon along with objects such as Width, Height, A, B, D, C, poly1, d, a, b, c, Area, Perimeter, text1, text2 for parameterization and computation. Suitable for high school mathematics education, focusing on geometric optimization problems and the application of function extrema.