CEMC Pascal, 2001

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

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

(A) $\frac{1}{4}$ (B) $\frac{1}{8}$ (C) $\frac{1}{16}$ (D) $\frac{1}{32}$ (E) $\frac{1}{64}$

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