AMC 12B 2008 Problem 18

A pyramid has a square base A B C D and vertex E. The area of square A B C D is 196 , and the areas of \triangle A B E and \triangle C D E are 105 and 91, respectively. What is the volume of the pyramid?

Answer Choices
A. 392
B. 196 \sqrt{6}
C. 392 \sqrt{2}
D. 392 \sqrt{3}
E. 784