
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 a trapezoid, the line segment joining the midpoints of the diagonals has length 5.  The height of the trapezoid is 10 and the longer base is 63.  Find the area of the trapezoid.

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