1.) Which shape seems to maximize the area of the protected region? 2.) Write down a generalization about the relationship between the area of a rectangle and its perimeter, when

the perimeter remains constant. 3.) Perform similar calculations, but this time, use a constant area of 36 km?. Set up a table similar to the one above and calculate the perimeter of each configuration. 4.) Describe the rectangle that has the largest perimeter. Describe the rectangle that has the lowest perimeter. 5.) Write down a generalization about the relationship between the area of a rectangle and its perimeter, when the area remains constant. 6.) Give a real-life example of when you would use these generalizations, like the scenario given at the beginning of this investigation.