<|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
 A farmer built a fence around his rectangular plot. He used 35 fence poles on the longer side and 27 fence poles on the shorter side of the rectangle. However, he also decided to build an internal fence dividing the rectangle into two equal square plots. How many poles did he need altogether? 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
146
A farmer built a fence around his rectangular plot. He used 35 fence poles on the longer side and 27 fence poles on the shorter side of the rectangle. However, he also decided to build an internal fence dividing the rectangle into two equal square plots. How many poles did he need altogether?
test