
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 a rectangle $ABCD,$ where $AB=15$ and diagonal $AC=17,$ find the area and the perimeter of rectangle $ABCD.$

[asy]
draw((0,0)--(15,0)--(15,8)--(0,8)--cycle,black+linewidth(1));
draw((0,8)--(15,0),black+linewidth(1));
label("$A$",(0,8),NW);
label("$B$",(15,8),NE);
label("$C$",(15,0),SE);
label("$D$",(0,0),SW);
label("15",(0,8)--(15,8),N);
label("17",(0,8)--(15,0),SW);
[/asy]

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