
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
Jack is designing a rectangular prism-shaped garden bed with square bases. He requires that the height of the bed be 4 units more than the side of the square bases. Determine the necessary height if he wants the surface area of the bed to be at least 110 square units while minimizing material use.

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