Final answer:
The dimensions of the rectangle are 24x and 90y.
Step-by-step explanation:
The area of a rectangle is represented by the expression 24x6y15. To determine the dimensions of the rectangle, we need to factorize the expression. Factoring out the common factors, we have:
24x6y15 = 2 × 2 × 2 × 3 × x × (2 × 3) × y × (5 × 3)
From this, we can see that the dimensions of the rectangle are:
Length = 2 × 2 × 2 × x × 3 = 24x
Width = 2 × y × 3 × (5 × 3) = 90y