Every Rectangle Wants to Be a Square | Concepts from Math Olympiad Geometry | AMC, IOQM, ISI-CMI
Join Trial or Access Free ResourcesJoin Trial or Access Free ResourcesIn 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.
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's M.Stat Entrance. They ranked within the first 50 in the entire country in these entrances. I.S.I. M.Stat Entrance
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's B.Stat Entrance and Chennai Mathematical Institute's B.Sc. Math Entrance. They ranked within the first 200 in the entire country in these entrances. Most of these students attended the problem solving workshops regularly, which happen 5 days every week. CMI B.Sc. Math Entrance […]
In 2025, 8 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies. The Regional Mathematics Olympiad (RMO) and the Indian National Mathematics Olympiad (INMO) are two most important mathematics contests in India.These two contests are for the students who are […]
Cheenta Academy proudly celebrates the success of 27 current and former students who qualified for the Indian Olympiad Qualifier in Mathematics (IOQM) 2025, advancing to the next stage — RMO. This accomplishment highlights their perseverance and Cheenta’s ongoing mission to nurture mathematical excellence and research-oriented learning.