
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
On the extensions of the sides \(AB, BC, CD\), and \(DA\) of a convex quadrilateral \(ABCD\), segments \(BB_1, CC_1, DD_1,\) and \(AA_1\) are laid off beyond points \(B, C, D,\) and \(A\) respectively, each being equal to the respective sides. Find the area of the quadrilateral \(A_1B_1C_1D_1\) if the area of the quadrilateral \(ABCD\) is \(s\).

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