Answer:
[tex]Width = W = 2x-5[/tex]
Step-by-step explanation:
Given Data:
Length of rectangle = L = [tex]4x + 9[/tex] ------->(Equation 1)
Area of rectangle = A = [tex]8x^{2} - 2x -45[/tex] square inches ------->(Equation 2)
To find out:
Width of rectangle = W = ?
Formula:
Area = A = L×W
[tex]Width = W = \frac{A}{L}[/tex]
Solution:
[tex]Width = W = \frac{A}{L}[/tex]
[tex]Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}[/tex]
For complete division check the attached image.
[tex]Width = W = 2x-5[/tex] inches