
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 flag has a red cross of uniform width with a blue square in the center and a green rectangle in one of the arms on a white background. The cross is symmetric with respect to each of the diagonals of the square. If the entire cross (red arms, the blue center, and the green rectangle) takes up 49% of the area of the flag, and the green rectangle alone occupies 5% of the area of the flag, what percent of the area of the flag is blue?

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