The area of a rectangle A = I x w represented by the expression 24x^6y^15 which could be the dimensions of the rectangle

area of rectangle is given by:
Area=length×width
given that the area of our rectangle is 24x^6y^15. To get the possible dimensions, we shall factorize the area of our rectangle:
(24x^6y^15)
=(6x^6) by (4y^15)
or
=(8x^6) by (3y^15)
or
=(12x^3x^5) by (2x^3y^10)