
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
Consider a square $ABCD$ where each side has a length of $10$. A smaller square $EFGH$ is drawn such that vertex $E$ lies on side $AB$ and $BE = \frac{1}{5}AB$. Calculate the area of square $EFGH$.
A) $90$
B) $96$
C) $100$
D) $100 - 16\sqrt{6}$
E) $104$

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