
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
Given a trapezoid $EFGH$, where $EF = 60$ and $GH = 40$, and an altitude from $E$ to line $GH$ measures $18$, find the combined area of trapezoid $EFGH$ and the smaller trapezoid $IJKL$ inscribed within it, where $IJ = 30$, $KL = 25$, and the altitude from $I$ to $KL$ measures $10$.

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