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}