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I think the wording of the question throws me, I wondering if someone can have a look at what I have come up with and tell me if I am on the right track.

For (a) all I can think of is X < L

For (b) I get

A = X * (100 - X) / 2

Graphing this I get a parabola which I would expect.

For (d) even without looking at the graph I know the width can't exceed the length

so I assume x = 49.9 at its largest area as when x is 50 the length is then 50 and its

a square.

Knowing that then the dimensions for the largest possible area would be 49.9 X 50.1

I apologize if all that is astronomically incorrect but any input would be greatly appreciated.