Problem 3.2
Step One Draw a 4 X 6 rectangle on grid paper and cut it out.
Step 2 Starting at one corner, cut an interesting path to an adjacent corner.
Step 3 Slide the piece you cut out onto the opposite edge. Tape the two pieces together, matching the straight edges.
Part A Find the area and the perimeter of your new figure.
Part B Is the perimeter of the new figure larger than, the same as, or smaller than the perimeter of a 4 X 6 rectangle? Explain.
Part C Could you make a figure with an area of 24 square units with a longer perimeter than you found in your first figure? Explain your answer.
Follow-up Summarize what you have discovered about figures with an area of 24 units.