# Greatest possible rectangle

Calculus Level 4

A rectangle has one of its bases on $$y=0$$ and is contained between $$x=3$$ and $$x=-1$$. It's opposite base has two of its points on the graph of $$y=x^3-2x^2+1$$ with $$y>0$$. Find the perimeter of the rectangle with the greatest possible area that fits the above definition.

×