
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 $\triangle ABC$, point $D$ is on side $BC$ such that $BD = 4$ units and $DC = 8$ units. Another point $E$ is located between $B$ and $D$ such that $BE = 3$ units and $ED = 1$ units. Find the ratio of the area of $\triangle ABE$ to the area of $\triangle ADE$.

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