The area of a rhombus can be calculated as half the product of the lengths of its diagonals. So, if the area of the rhombus is 48 square cm and one diagonal has a length of 12 cm, we can use this formula to find the length of the other diagonal:
Area = (1/2) × d1 × d2
where d1 and d2 are the lengths of the diagonals.
Substituting the given values, we get:
48 = (1/2) × 12 × d2
Simplifying, we get:
48 = 6d2
d2 = 8
Therefore, the length of the other diagonal is 8 cm.