Answer:
Length of rectangle is: [tex]Length=12x^3y^6[/tex]
Step-by-step explanation:
The area of rectangle = [tex]24x^6y^{15}[/tex]
Width of rectangle = [tex]2x^3y^9[/tex]
We need to find length of rectangle
The formula used is: [tex]Area=Length\times Width[/tex]
Putting values and finding length
[tex]Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6[/tex]
So, Length of rectangle is: [tex]Length=12x^3y^6[/tex]