
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 \(ABCD\), angles \(\angle ABC\) and \(\angle ACD\) are \(90^\circ\), with \(AC = 24\) and \(CD = 40\). The diagonals \(AC\) and \(BD\) intersect at point \(E\), where \(AE = 6\). Find the area of quadrilateral \(ABCD\).
A) 700
B) 720
C) 740
D) 760
E) 780

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