
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 base of a triangle is of length $b$, and the altitude is of length $h$. Two rectangles are inscribed in the triangle. The first rectangle has a height of $x$, and the second rectangle, placed directly above the first, has a height of $2x$. Both rectangles share the same base, which lies along the base of the triangle. Find the area of the second rectangle.

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