
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
Rectangle $EFGH$ has dimensions $FH=4$ and $HE=6$. A circle with radius $2$ is centered at $E$, a circle with radius $1.5$ is centered at $F$, and a circle with radius $3$ is centered at $H$. Calculate the area inside the rectangle but outside all three circles.
A) 11.0
B) 11.5
C) 12.0
D) 12.5
E) 13.0

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