Area and Perimeter of Rectangles: Exploring Change with Dimensions

This GeoGebra example demonstrates how a rectangle’s area and perimeter change as its side lengths vary, using dynamic geometric visualization. It focuses on core ideas such as the area and perimeter of rectangles, modeling relationships with functions (e.g., power/exponential-style dependencies when parameterized), and using graphical comparison connected to integral-calculus thinking. Construction uses Polygon and Segment to build rectangle shapes (with vertices like A, B, C, D and corresponding objects poly1 and poly2), and employs an Area object to compute/display the resulting area values. Additional point/edge objects (a, b, c, d, e, f, g, h, E, F, G, H) and text/annotation elements (text1) support clear labeling of measurements. Interactive components like button1/button2 and a parameter control (e.g., ymax) enable switching or updating configurations so learners can observe trends between geometry and quantitative measures. Suitable for classroom demonstrations in middle school through early college, especially for connecting geometry with function modeling and introductory calculus concepts.