
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
Divide 100 square cubits into 2 unknown parts such that $\frac{3}{4}$ of the side of one part is equal to the side of the other part. Find each of the unknown parts (i.e., split the area of 100 square cubits into two squares where the sides are in the ratio $1: \frac{3}{4}$).



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