
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
Three congruent circles with centers $E$, $F$, and $G$ are tactically positioned inside rectangle $JKLM$ such that each circle is tangent to two sides of the rectangle. The circle centered at $F$ is tangent to sides $JK$ and $LM$, with a diameter of $5$. Determine the area of rectangle $JKLM$.
A) 25
B) 50
C) 75
D) 100
E) 125

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