Create a polygon with at least five sides. Then, place at least three cut lines across the figure. (Be sure that some of the cut lines overlap.) Mix the pieces up with the **Mix Up** button.

- Can you rearrange the pieces back to their original shape?

For a slightly more advanced exploration, try this: Create a parallelogram. Draw a cut line from one vertex that is perpendicular to the opposite side, then hit the **Cut **button. Rearrange the pieces to form a rectangle.

- The area formula for a rectangle is
*A* = *bh*. The area formula for a parallelogram is also *A* = *bh*. How does this rearrangement help you understand why the same formula is used for these two different shapes? - Cut a rectangle into three pieces as follows: Choose two adjacent vertices, and draw a cut line from each vertex to the same point on the opposite side. Rearrange the two smaller pieces so that they cover the larger piece. How does this help you understand how the formula for finding the area of a triangle is related to the formula for finding the area of a rectangle?