Square ABCD has an area of 4. E is the midpoint of AB. Similarly, F,G,H, and I are the midpoints of DE,CF,DG, and CH, respectively. The area of \triangle{IDC} is

**Answer Choices**

A. \frac14

B. \frac18

C. \frac{1}{16}

D. \frac{1}{32}

E. \frac{1}{64}