To determine which part of the carpet should be excluded to meet a budget of $960, we first need to calculate the total area of the carpet you can afford.
Given that the cost of 1 square foot of carpet is $20, we can find out how many square feet can be purchased for $960:
\[ \text{Total area allowed} = \frac{\text{Total budget}}{\text{Cost per square foot}} = \frac{960}{20} = 48 \text{ ft}^2 \]
Now, we need to find out the total area of the carpet as indicated in the model. If the total area is greater than 48 ft², we need to exclude the difference in area to ensure that the final area of the carpet is 48 ft².
Let’s say the total area of the carpet from the model is \( X \) ft². Then, the area that needs to be excluded can be calculated as follows:
\[ \text{Area to exclude} = X - 48 \text{ ft}^2 \]
You'll need to find out the actual total area \( X \) from the image or model provided, and then you can compute the exact area that needs to be excluded. If you provide the total area of the carpet, I can help you calculate the exact exclusion needed.