
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 a right trapezoid, the larger base is four times the length of the altitude, and the area of the triangle formed by the larger base, a leg, and a diagonal is half the area of the trapezoid. Find the ratio of the length of the smaller base to the larger base.
A) $\frac{4}{5}$
B) 1
C) $\frac{1}{2}$
D) $\frac{3}{4}$
E) $\frac{2}{5}$

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