
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 $T_1$ has an area of 25 square units. Each side of $T_1$ is bisected, and using these bisection points, a smaller square $T_2$ is constructed inside by connecting these points such that the resulting square is rotated by 45 degrees compared to the original square. This process, including the 45-degree rotation, is repeated on square $T_2$ to create square $T_3$. Find the area of $T_3$.
A) 5.5
B) 6
C) 6.25
D) 6.5
E) 7

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