Every Rectangle Wants to Be a Square | Concepts from Math Olympiad Geometry | AMC, IOQM, ISI-CMI

In this video we are introducing students to the concept of maximizing area within a fixed perimeter, using the example of rectangles and squares. There will be illustrative description of how alteration of the dimensions of a rectangle can significantly impact its area.

There is an algebraic approach to maximize the area of a rectangle with a given perimeter which includes derivation of the formula for the area of a rectangle in terms of one side length.
The relationship between maximizing the area of a rectangle and it becoming closer to a square in shape.