A 34 foot bike ramp needs to be set up such that the horizontal length along the ramp is four times that of the height of the ramp. Write and solve a system to find the horizontal length and height for the ramp. If necessary, round answers to the nearest hundredth.

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?