Answer:
x + 9
Step-by-step explanation:
Area = 2x^2 + 18x
Width = 2x
Length = ?
The relationship between these quantities is;
Area = Length * Width
Length = Area / Width
Length = (2x^2 + 18x) / 2x
Using long division;
[tex]2x\sqrt{2x^{2} + 18x}[/tex]
This leads to;
length = x + 9
Checking;
Area = Length * Width
Area = (x + 9) * 2x
Area = 2x^2 + 18x ; This is correct!