Answers to question 3
Students should be able to quickly find the squares with area of 1, 4, 9, and 16. Diagonals must be connected to find squares with areas of 2, 5, 8, 10, and 13. Others are impossible. The sides of the diagonal squares will be irrational numbers. Since the sides are really the hypotenuses of a right triangle on GSP, all possible squares are those that have the area that can be expressed as the sum of two perfect squares.