I came across your brilliant Quadratics activity on Pinterest after a search for ways to connect parabolas to rectangles. Some quadratic word problems are motion problems while others talk about areas of rectangles. You magically merged the two. I'm writing this post to keep the description of your groundshattering activity alive. Here is the only hint of your wonderous activity I was able to find before Pinterest seemed to change things and erase photo descriptions from
"Students were given: Make a rectangle with a perimeter of 40. Each were given a different base length and had to find height and area. Students graphed their rectangles base (x) vs. area (y). Equation y=x(20-x), so students got to see a parabola in action! It went great!!"