
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  $\overline{CD},$   $AB=18, BC=21,$  and  $CD=14.$   Find the perimeter of  $ABCD$ .

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