<|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 perpendicular line is drawn from point P on the parabola $y^2=4x$ to the directrix of the parabola, and the foot of the perpendicular is M, with $|PM|=5$. If the focus of the parabola is F, then the area of $\triangle MPF$ is \_\_\_\_\_\_. 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
10
A perpendicular line is drawn from point P on the parabola $y^2=4x$ to the directrix of the parabola, and the foot of the perpendicular is M, with $|PM|=5$. If the focus of the parabola is F, then the area of $\triangle MPF$ is \_\_\_\_\_\_.
test