Final answer:
The dimensions of the rectangle can be determined by factoring the area expression, 24x^6 y^15. The dimensions of the rectangle are l = 2 * x^5 and w = y^13.
Step-by-step explanation:
The dimensions of the rectangle can be determined by factoring the area expression, 24x^6 y^15. The area expression can be factored as follows:
24x^6 y^15 = (2 * 2 * 2 * 3) * (x * x * x * x * x * x) * (y * y * y * y * y * y * y * y * y * y * y * y * y * y * y)
So, the dimensions of the rectangle can be l = 2 * x^5 and w = y^13.