Let points A=(0,0), B=(1,2), C=(3,3), and D=(4,0). Quadrilateral A B C D is cut into equal area pieces by a line passing through A. This line intersects \overline{C D} at point \left(\dfrac{p}{q}, \dfrac{r}{s}\right), where these fractions are in lowest terms. What is p+q+r+s ?
Answer Choices
A. 54
B. 58
C. 62
D. 70
E. 75