
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
On a 6 by 6 grid of points, what fraction of the entire grid's area is inside the shaded rotated rectangle? The vertices of the rectangle are at (2,2), (4,4), (2,4), and (4,6). Express your answer as a common fraction.

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