AMC8 1999 Problem 25

Points B, D, and J are midpoints of the sides of right triangle A C G. Points K, E, I are midpoints of the sides of triangle J D G, etc. If the dividing and shading process is done 100 times(the first three are shown) and A C=C G=6, then the total area of the shaded triangles is nearest

Answer Choices
A. 6
B. 7
C. 8
D. 9
E. 10