In the diagram, \triangle{ABC} is right-angled. Side AB is extended in each direction to points D and G such that DA=AB=BG. Similarly, BC is extended to points F and K so that FB=BC=CK, and AC is extended to points E and H so that EA=AC=CH. The ratio of the area of the hexagon DEFGHK to the area of \triangle{ABC} is
Answer Choices
A. 4:1
B. 7:1
C. 9:1
D. 16:1
E. 13:1