
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A rat starts at a corner of a square with side length 15 meters. It moves 9 meters along a diagonal towards the opposite corner. It then makes a 90-degree right turn and runs 5 meters at a 45-degree angle to the original diagonal. Calculate the average of the shortest distances from the rat to each side of the square.
A) 7.5
B) 8.0
C) 8.5
D) 9.0

Present the answer in LaTex format: \boxed{Your answer}
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