In \triangle A B C we have A B=25, B C=39, and A C=42. Points D and E are on \overline{A B} and \overline{A C} respectively, with A D=19 and A E=14. What is the ratio of the area of triangle A D E to the area of the quadrilateral B C E D ?
Answer Choices
A. \dfrac{266}{1521}
B. \dfrac{19}{75}
C. \dfrac{1}{3}
D. \dfrac{19}{56}
E. 1