
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 quadrilateral pyramid $S A B C D$ is a parallelogram $A B C D$. 1) Construct a cross-section of the pyramid by a plane passing through the midpoint of edge $A B$ and parallel to plane $S A D$. 2) Find the area of the resulting cross-section if the area of face $S A D$ is 16.

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