You are designing a rectangular garden. The garden will be enclosed by fencing on three sides and by a house on the fourth side. You want the garden to have an area of 392 square feet, but you want to minimize the amount of fencing that you need. How many feet of fencing do you need to enclose the garden?

1- 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.2- 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 the first question?