Final answer:
The area of a rectangle when the length is 4ab² and the breadth is -12a²b is 48a³b³ square units, ignoring the negative sign because area is always non-negative.
Step-by-step explanation:
To find the area of a rectangle, you multiply the length by the breadth. Given the length is 4ab² and the breadth is -12a²b, you calculate the area by multiplying these two expressions.
Area = Length × Breadth
Area = 4ab² × (-12a²b)
Area = -(4 × 12) × a³b³
Area = -48a³b³
However, because area cannot be negative, we ignore the negative sign when calculating the physical space a shape occupies, so the area of the rectangle is 48a³b³ square units.