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## Main Question or Discussion Point

You have a linear function [tex]f(x)=-\frac{2}{3}x+4[/tex] where [tex]0\leq x\leq 6[/tex] and [tex]0\leq y\leq 4[/tex]. What is the maximum area of a rectangle that has one side on the line of the function?

I know how to optimize this, I am just having trouble finding the equation for area of such a rectangle in terms of the function.

I have included an image of what I am talking about. Thanks a lot.

I know how to optimize this, I am just having trouble finding the equation for area of such a rectangle in terms of the function.

I have included an image of what I am talking about. Thanks a lot.