Answer:
The expression for the width of the rectangle is [tex]9x^{5}y^{5}[/tex].
Step-by-step explanation:
The formula to compute the area of a rectangle is,
[tex]Area=length\times width[/tex]
Given:
Area = [tex]45x^{8}y^{9}\ square\ yards[/tex]
Length = [tex]5x^{3}y^{4}\ yards[/tex]
Determine the expression for the width of the rectangle as follows:
[tex]Area=length\times width\\45x^{8}y^{9}=(5x^{3}y^{4})\times width\\width = \frac{45x^{8}y^{9}}{5x^{3}y^{4}} \\=\frac{45}{5}\times [x^{8-3}]\times [y^{9-4}]\\ =9x^{5}y^{5}[/tex]
Thus, the width is [tex]9x^{5}y^{5}[/tex].
