Same & Different: Missing Dimensions

Look at the two pictures. What do you notice?

A: A rectangle with 6 equal parts is 78 inches long. Its perimeter is 168 inches. The width, labeled w, is unknown. Each part is 1-half purple, 1-half orange. B: A rectangle with 6 equal parts is 6 inches wide. Its area is 522 square inches. The length, labeled x, is unknown. The 2nd, 4th, and 6th parts are 1-half orange, 1-half purple. The 1st, 3rd, and 5th parts are orange.
  1. How are pictures A and B mathematically the same, and how are they different?
    • A and B are the same because …
    • A and B are different because …
  2. Make a third figure with the dimensions labeled. Explain how your picture is the same as pictures A and B, and how it is different.