Let points A=(0,0,0), B=(1,0,0), C=(0,2,0), and D=(0,0,3). Points E, F, G, and H are midpoints of line segments \overline{B D}, \overline{A B}, \overline{A C}, and \overline{D C} respectively. What is the area of E F G H ?
Answer Choices
A. \sqrt{2}
B. \dfrac{2 \sqrt{5}}{3}
C. \dfrac{3 \sqrt{5}}{4}
D. \sqrt{3}
E. \dfrac{2 \sqrt{7}}{3}