
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 middle section of a truncated pyramid is the plane section that is parallel to the two bases of the pyramid and is equidistant from both bases. Calculate the perimeter and area of the middle section if the perimeters and areas of the two bases are \( k_1 \) and \( k_2 \), and \( t_1 \) and \( t_2 \), respectively.

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