
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 that the distance EG along Elm Street is 8 miles, the height EF from point F to Elm Street is 4 miles, another triangle EFG' is within triangle EFG where G' is on the line FG, EG' is 4 miles, and the height EF' from F to Elm Street is 2 miles. Determine the area of the triangular plot EFG, excluding the area of triangle EFG'.

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