
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
Let \( A B C D \) be an isosceles trapezoid with \( [A B] \) as the larger base. It is given that the diagonals intersect at a point \( O \) such that \(\frac{O A}{O C}=2\). Given that the area of triangle \( B O C \) is 10, what is the area of the trapezoid \( A B C D \)?

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