
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
A quadrilateral-shaped garden has three consecutive sides of lengths 500 meters, 350 meters, and 400 meters. The first side forms a $90^{\circ}$ angle with the second side, and the second side forms a $105^{\circ}$ angle with the third side. What is the length of the fourth side? What is the area of the garden?

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