
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 rectangular garden measures 15 meters in length and 10 meters in width. A person wants to build a square fish pond in the center with a side of x meters. After building the pond, the remaining area of the garden should be exactly half the original garden area. Find the side length of the square pond.
A) \(5\text{ meters}\)
B) \(10\text{ meters}\)
C) \(5\sqrt{3}\text{ meters}\)
D) \(8\text{ meters}\)

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