
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 photograph has dimensions \(a\) and \(b\) (in inches) where \(a\) and \(b\) are integers greater than zero. A decorative frame surrounding the photograph adds 4 inches to the width (horizontal dimension) and 5 inches to the height (vertical dimension) of the photograph. The total area (including the picture and frame) is measured to be 77 square inches. What is the area of the photograph in square inches?

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