
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 length of the longest side of an isosceles trapezoid is 13, and its perimeter is 28.

a) Find the sides of the trapezoid if its area is 27.

b) Can the area of such a trapezoid be 27.001?

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