
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 the cube \( ABCDEFGH \) with vertices \( A \) and \( G \) opposite each other, \( K \) and \( L \) are the midpoints of segments \( \overline{AB} \) and \( \overline{EF} \), respectively. Determine the ratio \( R \) of the area of the cross-section triangle \( AKL \) to the area of one of the faces of the cube and find \( R^2 \).
A) \(\frac{1}{16}\), B) \(\frac{1}{8}\), C) \(\frac{1}{4}\), D) \(\frac{1}{2}\), E) \(\frac{3}{4}\)

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