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2007 AMC 10A Question 18

AMC10 · 2007 AMC 10A

Question 18

Consider the $12$-sided polygon $ABCDEFGHIJKL,$ as shown. Each of its sides has length $4,$ and each two consecutive sides form a right angle. Suppose that $\overline{AG}$ and $\overline{CH}$ meet at $M.$ What is the area of quadrilateral $ABCM?$

Question illustration
  1. $\dfrac{44}{3}$
  2. $16$
  3. $\dfrac{88}{5}$
  4. $20$
  5. $\dfrac{62}{3}$