
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
Trapezoid $EFGH$ has base $EF = 24$ units and base $GH = 40$ units. Diagonals $EG$ and $FH$ intersect at point $P$. The area of trapezoid $EFGH$ is $480$ square units. Assuming trapezoid $EFGH$ is isosceles, what is the area of triangle $FPG$?

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