Equilateral \triangle A B C has side length 1 , and squares A B D E, B C H I, and C A F G lie outside the triangle. What is the area of hexagon D E F G H I ?
Answer Choices
A. \dfrac{12+3 \sqrt{3}}{4}
B. \dfrac{9}{2}
C. 3+\sqrt{3}
D. \dfrac{6+3 \sqrt{3}}{2}
E. 6