
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 original configuration, if a larger square is divided by drawing lines from the midpoints of its sides to form a smaller square within it, and now if the area of the larger square is given as 100 square units, what is the area of the newly formed smaller square?

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