Tina and Kleu built rectangular play areas for their dogs. The play area for Tina's dog is 1.5 times as long and 1.5 times as wide as the play area for Kleu's dog. If the play area for
Kleu's dog is 60 square feet, how big is the play area for Tina's dog?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?