Objective: Determine the effect on the perimeter and the area of square when the length of a side is changed. [br] [br]Procedure: [br]1.) Drag points B and C to change the dimensions of the square. Make a table of values showing the length of a side, the perimeter and the area of different size squares. [br]2.) Use the results to answer the questions listed below.[br]3.) Change the original figure to a rectangle. Drag points B and C to change the dimensions. Make a table of values showing the length and width of the rectangle, the perimeter and the area of [b]similar[/b] rectangles.

Questions:[br]1.) If the length of the side of a square is doubled, what is the effect on the perimeter and area of the square? [br]2.) If the length of the side of a square is tripled, what is the effect on the perimeter and area of the square? [br]3.) If the length of the side of a square is multiplied by a factor of 4 (quadrupled), what is the effect on the perimeter and area of the square? [br]4.) If the length of the side of a square is halved, what is the effect on the perimeter and area of the square? [br]5.) If the length of the side of a square is multiplied by a factor X, what is the effect on the perimeter and area of the square?[br]6.) Write a conjecture explaining how the perimeter and area of a square are affected by a change in the length of the side of the square. [br]7.) Can you show algebraically that your conjecture is true?[br]8.) Would your conjecture hold true, if the figure being investigated was some other polygon (rectangle, triangle, pentagon, etc.)?