
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 garden is divided into two triangular sections. The first triangle has a base of 50 feet and shares its altitude with the second triangle, which has a base of 40 feet. If the altitude common to both triangles is such that the area of the first triangle is 800 square feet, find the total area of both triangles combined.

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