
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
Given the diagram, $\mathrm{ABCD}$ and $\mathrm{EGFO}$ are both squares. The point $\mathrm{O}$ is the center of square $\mathrm{ABCD}$ and $\mathrm{EF} \parallel \mathrm{BC}$. If the lengths of BC and EF are both positive integers, and the area of quadrilateral BCEF is 3.25, find $S_{A B C D} - S_{E G F O}$.

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