The area of the rhombus with diagonals 2 millimeters and 4 millimeters is 4 square millimeters, calculated using the formula for a rhombus' area which is half the product of its diagonals.
Step-by-step explanation:
The area of a rhombus can be calculated by multiplying the lengths of its diagonals together, and then dividing by 2. Since the diagonals of the rhombus are given as 2 millimeters and 4 millimeters, the formula for the area (A) of the rhombus is:
A = ½ × d1 × d2
Substituting the provided values we get:
A = ½ × 4 mm × 2 mm
= ½ × 8 mm²
= 4 mm²
Therefore, the area of the rhombus is 4 square millimeters.