Answer:
See attachment for image
Explanation:
Given
![Width = 9](https://img.qammunity.org/2022/formulas/mathematics/college/bsw59nf08pqmhvvqj13fwg096vriolz6v5.png)
![Perimeter = 40](https://img.qammunity.org/2022/formulas/mathematics/college/wat9unffwbxrya888iakb9f5a0wtg4a9t3.png)
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
![Perimeter = 2 *(Length + Width)](https://img.qammunity.org/2022/formulas/mathematics/high-school/iswbwyo9q9g9s29lxf08ruqtsik4pi55he.png)
![40 = 2 *(Length + 9)](https://img.qammunity.org/2022/formulas/mathematics/college/rppt5z0xjw2hznk265vrowzec7rw8bryn7.png)
Divide both sides by 2
![20 = Length + 9](https://img.qammunity.org/2022/formulas/mathematics/college/kau3ue3n9b1zk8qs690l6rmx6t7rmv0ktm.png)
Solve for Length
![Length = 20 - 9](https://img.qammunity.org/2022/formulas/mathematics/college/i90mogrdc6ti0a1t512rpbbt2wwb1ovsaz.png)
![Length = 11](https://img.qammunity.org/2022/formulas/mathematics/college/blqtj0iim0w7q73uajfby1p2ggbfjn3nz1.png)
This implies that the dimension of the patio is 11 units by 9 units (See attachment)