
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 opposite vertices $A$ and $G$, let $K$ and $L$ be the midpoints of edges $\overline{AB}$ and $\overline{GH}$, respectively. Calculate the ratio $R$, which is defined as the ratio of the area of cross-section $AGKL$ to the area of one face of the cube, and find $R^2$.
A) $\frac{5}{4}$
B) $\frac{4}{3}$
C) $\frac{3}{2}$
D) $\frac{25}{16}$
E) $\frac{9}{8}$

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