Final answer:
The area of the rectangle is found by multiplying the base, 724y^4, by the height, 6x^2y, which yields the area of 4344x^2y^5.
Step-by-step explanation:
To find the area of the rectangle, we multiply the base by the height. Given that the base of the rectangle is 724y^4 and the height is 6x^2y, the area is calculated as follows:
- Area = base × height
- Area = (724y^4) × (6x^2y)
- Area = 4344x^2y^5
Therefore, the area of the rectangle is 4344x^2y^5.