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: Cutting equilateral triangle $BFC$ out of square $ABCD$ and translating it to the left of the square creates the shaded figure $ABFCDE$. The perimeter of square $ABCD$ was 48 inches. What is the perimeter, in inches, of $ABFCDE$?

[asy]
filldraw((0,0)--(sqrt(3),1)--(sqrt(3)+2,1)--(2,0)--(sqrt(3)+2,-1)--(sqrt(3),-1)--(0,0)--cycle,gray,linewidth(1));
draw((sqrt(3),1)--(sqrt(3),-1),linewidth(1));
draw((sqrt(3)+2,-1)--(sqrt(3)+2,1)--(2,0)--(sqrt(3)+2,-1)--cycle,dashed);

label("A",(sqrt(3),1),N);
label("B",(sqrt(3)+2,1),N);
label("C",(sqrt(3)+2,-1),S);
label("D",(sqrt(3),-1),S);
label("E",(0,0),W);
label("F",(2,0),N);
[/asy]
user