
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 the diagram, \( DE = 30 \, \text{cm}, \) \( DF = 24 \, \text{cm}, \) and \( \angle D = 90^\circ. \) The triangle DEF is similar to another triangle XYZ with a scale factor of \( \frac{3}{4}. \) What is the area of triangle XYZ?

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