Explanation:

- A rhombus has all sides of equal length. Here, one side is given as 13 cm.

- One diagonal is given as 24 cm.

- Diagonals of a rhombus bisect each other at right angles.

- We can find the other diagonal using the Pythagorean theorem. Half-diagonals form a right triangle with the side: $({13}^2=(12{)}^2+(d/2{)}^2)$.

- Solve to find $d/2=5$, so the other diagonal, $d=10$.

- Area of a rhombus = $(1/2)\times \text{Diagonal 1}\times \text{Diagonal 2}=(1/2)\times 24\times 10=120$.

- Options:

- Option 1: 120 cm²

- Option 2: 130 cm²

- Option 3: 156 cm²

- Option 4: 312 cm²