We started by thinking about the 24 tile pool. The biggest ribbon square we could make was 26 square tiles, and the smallest was 1 square tile. We made 9 different sized squares: 1,2,4,8,9,16,18,20, and 26.
In the 20 tile pool, the biggest ribbon square we could make was 17 square tiles, and the smallest was 1 square tile again. With this pool, we made 7 different sized squares: 1,2,4,8,9,13,and 17.
Please watch our video to find out how we solved this question. We used three different strategies to make squares. Here is the link to our video: https://www.youtube.com/watch?v=aMYEyqlCgmM
A weird thing we noticed was that the biggest ribbon squares in both pools were 1 sq. tile more than the area of the pool! And we really don’t know why that happens, and we want to find out! Another thing we want to find out is more about how the Pythagorean Theorem works.
Thank you!