
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
In the diagram below, the smaller circle has a radius of three feet and the larger circle has a radius of six feet. What is the total area of the four shaded regions? Express your answer as a decimal to the nearest tenth.

[asy]
fill((0,0)--(15,0)--(15,-6)--(6,-6)--(6,-3)--(0,-3)--cycle,gray(0.7));
draw((0,0)--(15,0),linewidth(1));
draw((0,0)--(0,-3),linewidth(1));
draw((6,0)--(6,-6),linewidth(1));
draw((15,0)--(15,-6),linewidth(1));
draw((0.3,0)--(0.3,-0.3)--(0,-0.3));
draw((6.3,0)--(6.3,-0.3)--(6,-0.3));
draw((14.7,0)--(14.7,-0.3)--(15,-0.3));
fill(Circle((3,-3),3),white);
fill(Circle((12,-6),6),white);
draw(Circle((3,-3),3));
draw(Circle((12,-6),6));
dot((3,-3));
dot((12,-6));
[/asy]

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