
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
Carina is drawing the layout of a rectangular garden, with one of its sides along a straight stone wall. She bought $140 \text{ meters}$ of fence, in pieces of $1 \text{ meter}$ each, to enclose the other three sides. These pieces cannot be cut and all of them must be used.

(a) If the two sides adjacent to the stone wall are $40 \text{ meters}$ each, what will be the length of the third side?

(b) Is it possible for the longest side to be fenced to be $85 \text{ meters}$? And $65 \text{ meters}$? Justify.

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