Explanation:

To find the perimeter of the rhombus, we use the properties of its diagonals:

- Diagonals of a rhombus: Perpendicular and bisect each other.

- Given diagonals: 48 cm and 20 cm.

- Divide diagonals by 2:

- Half of 48 cm = 24 cm.

- Half of 20 cm = 10 cm.

- Right triangle formed: With sides 24 cm and 10 cm (half diagonals). The hypotenuse is one side of the rhombus.

- Calculate hypotenuse (side length of rhombus) using Pythagorean theorem:

$$

\sqrt{24^2 + 10^2} = \sqrt{576 + 100} = \sqrt{676} = 26 \, \text{cm}

$$

- Perimeter of the rhombus: \(4 \times 26 = 104 \, \text{cm}\).

- Correct Option: Option 4, 104 cm.