2016 THREE(c)

A rectangle has one vertex at (0,0) and the opposite vertex on the curve $y=(x-6{)}^2$, where
$0<x<6$, as shown on the graph below.

Find the maximum possible area of the rectangle.

*You must use calculus and show any derivatives that you need to find when solving this problem.*

*You do not need to prove that the area you have found is a maximum.*