
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
The perimeter of a rectangle is $100 \text{ cm}$ and the diagonal measures $x \text{ cm}$. What is the area of this rectangle as a function of $x$?
(a) $625-x^{2}$
(b) $625-\frac{x^{2}}{2}$
(c) $1250-\frac{x^{2}}{2}$
(d) $225-\frac{x^{2}}{2}$
(e) $2500-\frac{x^{2}}{2}$

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