
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 girl decided to cross a rectangular park diagonally instead of walking around its perimeter along two adjacent sides. By doing so, she saved a distance equal to \( \frac{1}{3} \) of the longer side of the rectangle. Determine the ratio of the shorter side to the longer side of this rectangular park.
**A)** \( \frac{1}{2} \)
**B)** \( \frac{5}{12} \)
**C)** \( \frac{1}{3} \)
**D)** \( \frac{3}{4} \)

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