
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
Regular hexagon  $NOSAME$  with side length  $1$  and square  $UDON$  are drawn in the plane such that  $UDON$  lies outside of  $NOSAME$ . Compute  $[SAND] + [SEND]$ , the sum of the areas of quadrilaterals  $SAND$  and  $SEND$ .


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