Explanation:

- A rhombus has equal-length sides and diagonals that bisect each other at right angles.

- The diagonals divide the rhombus into four right triangles.

- Half the lengths of the diagonals are 8 cm (16/2) and 15 cm (30/2).

- Use the Pythagorean theorem to find the side length of the rhombus:

$\sqrt{8^2+{15}^2}=\sqrt{64+225}=\sqrt{289}=17$ cm.

- Perimeter of the rhombus = 4 times the side length = 4 * 17 = 68 cm.

- Option 1: 68 cm

- Option 2: 76 cm

- Option 3: 72 cm

- Option 4: 80 cm