
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 quadrilateral $ABCD$, $\angle B$ is a right angle, diagonal $\overline{AC}$ is perpendicular to both $\overline{CD}$ and $\overline{AB}$, with $AB = 15$, $BC = 28$, and $CD = 17$. Calculate the total perimeter if there are two such quadrilaterals $ABCD$.

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