
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
Let $ABCD$ be a square with side $s$. $E, F, G,$ and $H$ are the midpoints respectively of lines extended $s$ units outward from the middle of each side of square $ABCD$. Determine the area ratio of square $EFGH$ (formed by drawing perpendicular bisectors from $E$ to $H$ and equal extensions on the other sides) to square $ABCD$.
**A** $\frac{5}{2}$  
**B** $\frac{3}{2}$  
**C** $2$  
**D** $3$  
**E** $\frac{5}{3}$

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