
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
A right triangle $\triangle ABC$ overlies rectangle $DEFJ$ with its point $A$ being the top left corner of rectangle $DEFJ$. Right triangle $\triangle ABC$ shares $40\%$ of its area with rectangle $DEFJ$. Rectangle $DEFJ$ shares $25\%$ of its area with right triangle $\triangle ABC$. What is $\frac{BC}{AB}$?
A) 2
B) 3
C) 4
D) 5
E) 6

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