The students in a furniture-making class make a tabletop shaped like a
figure shown. The tabletop has squares cut out of the corners.
a. What is the area of the tabletop?
b. One of the students wants to make a tabletop shaped like a right
triangle. This tabletop will have the same area as the tabletop shown.
What is a set of possible lengths for the sides that meet in a right
angle on this tabletop? Explain.