Benjamin is doing some remodeling at his home. He currently has a triangular patio that has a base that is two times as long as its height. He wants to increase the length of the base of the patio by 2 feet and the length of the height of the patio by 8 feet. If x represents the height of the patio, which of the following functions will give the area of the new patio? A. f(x) = x^2 + 6x + 8
B. f(x) = x^2 + 9x + 8
C. f(x) = 2x^2 + 18x + 16
D. f(x) = 2x^2 + 16