The length of the rectangle is 2x (from -x to +x). It is "horizontal" dimension. The height of the rectangle is f(x) =. It is "vertical" dimension. The area of the rectangle is A(x) = = . To find the maximum, take the derivative and equate it to zero: = 16 - 12x^2 = 0. ====> = ====> x = = = . You calculate maximal area A(x) by substituting x = .