I recently encountered a problem involving the partitioning of a square into equal-area rectangles, also known as a “floorplan.” The problem asks for the area of the large square given the side length of the smaller rectangles. Instead of manually writing out the equations, I realized it would be more efficient to generate them. By using SymPy to solve this system of equations, we can determine the side length of the square by adding 3 to the height of the yellow rectangle. Overall, this approach saves time and allows for a more streamlined solution.
https://wsdookadr.github.io/posts/p9/