
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
In triangle ABC, G is the midpoint of side AB, and H is the midpoint of side AC. I is the midpoint of GH, and M is the midpoint of BC. Given that the area of triangle ABC is 180, determine the area of triangle GIM.
A) 22.5
B) 45
C) 30
D) 36

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