2007 AMC 10A Problems/Problem 18

Revision as of 09:53, 5 February 2008 by 1=2 (talk | contribs)

Problem

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 $ABCM$?


An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.


$\text{(A)}\ \frac {44}{3}\qquad \text{(B)}\ 16 \qquad \text{(C)}\ \frac {88}{5}\qquad \text{(D)}\ 20 \qquad \text{(E)}\ \frac {62}{3}$

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also