
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
If the length in meters (m) and width in meters (m) of a rectangular plot are roots of $x^2 - 3x + 2 = 0$, and their reciprocals (in per meters, m^-1) are the roots of $x^2 - rx + s = 0$, find the value of $rs$.
A) $1.5$
B) $0.75$
C) $0.5$
D) $1$

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