Constructing a Rectangle with Given Perimeter and Diagonal

This example demonstrates constructing a rectangle given its perimeter and diagonal length. Core concepts involve rectangle properties, Pythagorean theorem, and solving quadratic equations geometrically. Construction utilizes GeoGebra commands like Segment, Circle, Intersect, and Polygon to find vertices via ellipse and circle intersections. Suitable for high school geometry, algebra-geometry integration, or math competition training, providing visual insight into constrained geometric construction.