
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 rectangle \( ABCD \), point \( F \) is the midpoint of side \( CD \), and the length of side \( BC \) is three times the length of \( BE \). Find the ratio of the area of the rectangle to the area of the shaded portion.

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