Explanation:

- The rectangle's dimensions are 20 meters by 12 meters.

- Perimeter of the rectangle: \(2 \times (20 + 12) = 64\) meters.

- If the perimeter of the rectangle equals the area of a square, then the area of the square must be 64 square meters.

- To find the side of the square, we solve \(s^2 = 64\). Therefore, \(s = 8\) meters.

- The perimeter of the square: \(4 \times 8 = 32\) meters.

Now, let's look at the options:

1. 64

2. 32

3. 16

4. 42

5. None of these

The correct answer is Option 2: 32, so .