<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 As shown in the figure, the side length of square $ABCD$ is 8 centimeters. Point $E$ is on the extension of $AB$, and quadrilateral $BEFG$ is a square. Find the area of triangle $AFC$. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
32
As shown in the figure, the side length of square $ABCD$ is 8 centimeters. Point $E$ is on the extension of $AB$, and quadrilateral $BEFG$ is a square. Find the area of triangle $AFC$.
test