Consider the 12-sided polygon A B C D E F G H I J K L, as shown. Each of its sides has length 4 , and each two consecutive sides form a right angle. Suppose that \overline{A G} and \overline{C H} meet at M. What is the area of quadrilateral A B C M ?
Answer Choices
A. \dfrac{44}{3}
B. 16
C. \dfrac{88}{5}
D. 20
E. \dfrac{62}{3}