A rectangle is drawn as shown in the figure below. One side of the rectangle is on the y-axis and the right upper corner lies in the first quadrant on the line y = -12 x + 9. The rectangle extends below the x-axis to the line y = -4. Answer the following: a) Write the area of the rectangle as a function of x A(X) = b) For all first quadrant points on the given line, determine the maximum area enclosed by the rectangle. (Decimals in answers are marked incorrect.) Maximum area = square units (x, y)