
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
We draw squares on the sides of a right-angled triangle. Calculate the area of the hexagon determined by the outer vertices (not identical with the vertices of the triangle) of the squares if we know the hypotenuse $(c)$ of our right-angled triangle, and the sum of the legs $(d)$.

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