
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 right triangle with legs of length $6$ and $8$ units and a small unplanted square at the right angle vertex such that the shortest distance from the unplanted square to the hypotenuse is $4$ units, calculate the fraction of the field that is planted.

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