Answer: [tex]8x^3y[/tex]
Step-by-step explanation:
Given
The area of a rectangle is [tex]24x^5y^7[/tex]
The length of the rectangle is [tex]3x^2y^6[/tex]
The area is given by the product of length and width
Suppose, w is the width of the area
[tex]\therefore A=l\times w\\\Rightarrow 24x^5y^7=3x^2y^6\times w\\\\\Rightarrow w=\dfrac{24x^5y^7}{3x^2y^6}\\\\\Rightarrow w=8x^3y[/tex]
Thus, the width of the rectangle is [tex]8x^3y[/tex]