
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
The rectangular flag is divided into seven stripes of equal height, with the height of the flag being \( h \) and the length of the flag being twice its height. The total area of the four shaded regions is \( 1400 \mathrm{~cm}^2 \). Calculate the height of the flag.

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