Answer:
See attachment for image
Step-by-step explanation:
Given
[tex]Width = 9[/tex]
[tex]Perimeter = 40[/tex]
Required
The image that illustrates the patio
The question is incomplete as the possible images are not given. So, I will attach an image that illustrates the scenario.
But first, the length of the patio must be calculated using perimeter formula
[tex]Perimeter = 2 *(Length + Width)[/tex]
[tex]40 = 2 *(Length + 9)[/tex]
Divide both sides by 2
[tex]20 = Length + 9[/tex]
Solve for Length
[tex]Length = 20 - 9[/tex]
[tex]Length = 11[/tex]
This implies that the dimension of the patio is 11 units by 9 units (See attachment)