<|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
 In the figure, there are three squares of different sizes: large, medium, and small. The area of the large square is 32 more than the area of the medium square, and the perimeter of the large square is 16 more than the perimeter of the small square. What is the area of the large square? 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
100
In the figure, there are three squares of different sizes: large, medium, and small. The area of the large square is 32 more than the area of the medium square, and the perimeter of the large square is 16 more than the perimeter of the small square. What is the area of the large square?
test