CONSTRUCT ARGUMENTS Valeria and Sanjia are staking out a garden that has one pair of opposite sides measuring 30 feet and the other pair of sides measuring 40 feet. Using only a 60-foot-long tape measure, how can they be sure that their garden is a rectangle?
a. Draw a model of the garden with diagonal t. Let p=30 and q=40.
b. If the garden is a rectangle, what must be true about p, q, and t ? Why?
c. Sanjia measures the diagonal and finds that it is 50 feet long. Is there enough information to determine whether their garden is a rectangle? Explain.