
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
In trapezoid \(ABCD\), the lengths of the bases \(AB\) and \(CD\) are 10 and 25 respectively. The legs of the trapezoid are extended beyond \(A\) and \(B\) to meet at point \(E\). What is the ratio of the area of triangle \(EAB\) to the area of trapezoid \(ABCD\)? Express your answer as a common fraction.

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