
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
A square \( S_1 \) has an area of 25 square units. Each side is bisected, and a smaller square \( S_2 \) is constructed using these midpoints as vertices. This process is repeated to construct \( S_3 \) from \( S_2 \) and similarly, \( S_4 \) from \( S_3 \). Find the area of square \( S_4 \).
A) 3.0
B) 3.125
C) 3.25
D) 3.5
E) 3.75

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