
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
Consider a trapezoid planted uniformly with corn. The trapezoid has base lengths of 130 m and 210 m, and the non-parallel sides are each 150 m in length. The smaller angle at the base of 130 m is 70°. At harvest, the corn at any point in the field is brought to the nearest point on the field's perimeter. What is the fraction of the crop that is brought to the longest side?

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