Here is the question:
A rancher has 300 feet of fencing and needs to make three pens for his animals in the following shape:
a) Write a formula for the total fencing needed.
b) Find a formula using only $x$ for the total area.
c) Find the dimensions for the pens that maximizes the total area.
My problem is that the diagram seems to suggest that $x=2y$, but we cannot assume that, so the answer for a) is an expression involving both $x$ and $y$. But then for b), I can't seem to be able to express y in terms of x without assuming that $x$ does in fact equal $2y$. But then, if that is the case, we can rewrite the expression for a) so that it is in terms of only $x$ and since we have 300 ft. of fencing, then we can find a value for $x$, and there really is no optimization needed, since there is only one possible configuration. Is the problem written incorrectly or do I just need to go back to Calculus I?
EDIT: I forgot to add another piece of information that was on the diagram. The diagram also explicitly states that the top of the diagram is $2x$ because the other length is also $x$:
Does this change anything?