FERMAT 1997 Problem 20

Past Contests FERMAT FERMAT - 1997
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1

In the diagram, all triangles are equilateral. If AB=16, then the total area of all the black triangles is

Image

Answer Choices
A. 37\sqrt3
B. 32\sqrt3
C. 27\sqrt3
D. 64\sqrt3
E. \frac{64}{3}\sqrt3