Given: A rhombus ABCD

Diagonal AC = 24 cm

Area = 120 cm²

Area of the rhombus = × AC × BD

Therefore,

× AC × BD = × 24 × BD = 120

24 × BD = 120 × 2

BD = = 10 cm

OB = = = 5 cm

OA = = = 12 cm

Now,

In AOB using Pythagoras theorem

AB² = OA² + OB²

AB² = 12² + 5²

AB² = 144 + 25

AB² = 169

AB = 13

Therefore length of each side of the rhombus = 13 cm