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: Steve has an isosceles triangle with base 8 inches and height 10 inches. He wants to cut it into eight pieces that have equal areas, as shown below. To the nearest hundredth of an inch what is the number of inches in the greatest perimeter among the eight pieces? [asy]
size(150);
defaultpen(linewidth(0.7));
draw((0,0)--(8,0));
for(int i = 0; i < 9; ++i){
draw((4,10)--(i,0));
}
draw((0,-0.5)--(8,-0.5),Bars(5));
label("$8''$",(0,-0.5)--(8,-0.5),S);
[/asy]
user