Final answer:
The area of the rhombus with diagonals of 2 cm and 4 cm is 8 cm².
Step-by-step explanation:
The formula for the area of a rhombus is given by A = xy/2, where x and y are the lengths of the diagonals.
In this case, the diagonals have lengths of 2 cm and 4 cm.
Substituting these values into the formula, we get:
A = (2 cm)(4 cm)/2 = 8 cm²
Therefore, the area of the rhombus is 8 cm².