# Problem #1003

 1003 A regular octagon $ABCDEFGH$ has sides of length two. Find the area of $\triangle ADG$. $\textbf{(A) } 4 + 2\sqrt2 \qquad \textbf{(B) } 6 + \sqrt2\qquad \textbf{(C) } 4 + 3\sqrt2 \qquad \textbf{(D) } 3 + 4\sqrt2 \qquad \textbf{(E) } 8 + \sqrt2$ This problem is copyrighted by the American Mathematics Competitions.
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