Area of a Square Investigation

Students investigate different ways to calculate the area of a square.

Questions: 1.) Calculate the area of the square four different ways: Area of a parallelogram = bh Area of a square = s^2 Area of a regular polygon = 0.5aP (a = apothem and P = perimeter) Area of a rhaombus = 0.5(diagonal 1)(diagonal 2) 2.) If you drag vertex A to change the size of the square, do all the formulas still give you the correct answer for the area? Explain why or why not?