
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 area of the top base of a frustum is 1, and the area of the bottom base is 16. A plane parallel to the bases intersects the frustum such that the distance from the plane to the top base is twice the distance from the plane to the bottom base. Calculate the area of the intersection.

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