I have a problem that reads: A parking lot is to be formed by fencing in a rectangular plot of land except for an entrance 12 feet wide. Find the dimensions of the lot of greatest area if 300 feet of fencing is to be used.

I am also supposed to provide a graph for this problem. On the answer sheet it says that the equation for the graph is y=x(156-x).

Y being area and X being width. I have no idea how to get to this answer. I understand that 156 * 2 = 312, which is 300 + 12, but I don’t understand how to get this equation. Could somebody please explain it to me? Thanks.

I am also supposed to provide a graph for this problem. On the answer sheet it says that the equation for the graph is y=x(156-x).

Y being area and X being width. I have no idea how to get to this answer. I understand that 156 * 2 = 312, which is 300 + 12, but I don’t understand how to get this equation. Could somebody please explain it to me? Thanks.

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