
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
Let rectangle \(ABCD\) be defined with vertices \(A = (0,0)\), \(B = (0,5)\), \(C = (8,5)\), and \(D = (8,0)\). Draw lines from \(A\) at \(45^\circ\) and from \(B\) at \(-45^\circ\) with the horizontal. Calculate the area of the rectangle and determine the coordinates of the intersection point of the lines from \(A\) and \(B\).
A) Area = 45, Intersection Point = (2.5, 2.5)  
B) Area = 40, Intersection Point = (2.5, 2.5)  
C) Area = 40, Intersection Point = (3, 3)  
D) Area = 50, Intersection Point = (2.5, 3)

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