AMC 12B 2006 Problem 16

Regular hexagon A B C D E F has vertices A and C at (0,0) and (7,1), respectively. What is its area?

Answer Choices
A. 20 \sqrt{3}
B. 22 \sqrt{3}
C. 25 \sqrt{3}
D. 27 \sqrt{3}
E. 50