
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 a triangle \( ACE \) with a point \( B \) on segment \( AC \) and a point \( D \) on segment \( CE \) such that \( BD \) is parallel to \( AE \). A point \( Y \) is chosen on segment \( AE \), and segment \( CY \) is drawn, intersecting \( BD \) at point \( X \). If \( CX = 5 \) and \( XY = 3 \), what is the ratio of the area of trapezoid \( ABDE \) to the area of triangle \( BCD \)?

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