We are given the area of a square photo frame, which is $256$ cm$^2$. We need to find the perimeter of the photo frame.

1. Problem Description

We are given the area of a square photo frame, which is $256$ cm$^2$. We need to find the perimeter of the photo frame.

2. Solution Steps

Let $s$ be the side length of the square photo frame.

The area of a square is given by the formula:

$Area = s^2$

We are given that the area is $256$ cm$^2$. So,

$s^2 = 256$

To find the side length $s$, we take the square root of both sides:

$s = \sqrt{256}$

$s = 16$ cm

The perimeter of a square is given by the formula:

$Perimeter = 4s$

Since we found $s = 16$ cm, we substitute this value into the formula:

$Perimeter = 4 \times 16$

$Perimeter = 64$ cm

3. Final Answer

The perimeter of the photo frame is 64 cm.