Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: In rectangle $ABCD$, $AB = 6$ cm, $BC = 8$ cm, and $DE = DF$. The area of triangle $DEF$ is one-fourth the area of rectangle $ABCD$. What is the length in centimeters of segment $EF$? Express your answer in simplest radical form.

[asy]
draw((0,0)--(0,24)--(32,24)--(32,0)--cycle);
draw((13,24)--(32,5));
label("$A$",(0,24),W);
label("$B$",(0,0),W);
label("$C$",(32,0),E);
label("$D$",(32,24),E);
label("$E$",(13,24),N);
label("$F$",(32,5),E);
[/asy]
user