
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
Let \(ABCD\) be a rectangle with \(AB = 8\) and \(AD = 20\). Two circles of radius 5 are drawn with centers in the interior of the rectangle - one tangent to \(AB\) and \(AD\), and the other passing through both \(C\) and \(D\). What is the area inside the rectangle and outside of both circles?

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