Area = 15x^3 + 25x^2 what is the length and width of the rectangle?

no unique answer.

any pair of factors of 15x3 + 25x^2 would do

15x^3 +25x^2 = x^2(15x + 25)
or
= 5x(3x^2 + 5x)
or
= 5(5x^3 + 5x^2)

etc

for any answer, the two factors would be the length and width

To determine the length and width of a rectangle given the area, we need to consider the area formula of a rectangle, which is length multiplied by width:

Area = Length * Width

In your case, the given area is 15x^3 + 25x^2. However, it is important to note that this expression represents a polynomial, not a numerical value. Without further information, it is not possible to determine a specific length and width.

If you have additional information about the problem, such as the relationship between the length and width, or any constraints or conditions, please provide those details so that I can assist you further in finding the length and width of the rectangle.