
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
Each vertex of this parallelogram, located in a coordinate plane, has integer coordinates. The length of one diagonal of this parallelogram is $d$ units, while the area is $a$ square units. Find the value of the sum $d + a$, given that the parallelogram has vertices at $(1, 0)$, $(4, 3)$, $(9, 3)$, and $(6, 0)$.

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