Question 23
Points $B,D,J$ are the midpoints of the sides of right triangle $ACG$. Points $K,E,I$ are the midpoints of the sides of triangle $JDG$. Continue this process, shading the right triangle on the right at each step. After $100$ steps, with $AC=CG=6$, which value is closest to the total shaded area? The diagram shows the first three steps.
