
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
In an isosceles trapezoid \(ABCD\) with bases \(BC\) and \(AD\), the diagonals intersect at point \(O\). Find the perimeter of the trapezoid if \(BO=\frac{7}{8}\), \(OD=\frac{25}{8}\), and \(\angle ABD=90^\circ\).

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