
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
Given that the area of rectangle ABCD is 100 square meters, points P and Q are located one-fourth the length of sides AD and CD respectively from vertices A and C, and point R is located one-fourth the length of side BC from vertex B, determine the area of the quadrilateral APRQ.

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