
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
A rectangle has dimensions given by length $AC=40$ and width $AE=24$. Points $B$ and $F$ are midpoints of sides $\overline{AC}$ and $\overline{AE}$, respectively. $G$ is the midpoint of $\overline{DE}$. Calculate the area of quadrilateral $ABFG$.

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