To determine which part of the carpet should be excluded so that the cost for the remaining carpet is exactly $960, we first need to establish how much area can be covered for that cost.
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Calculate the total area covered for $960: \[ \text{Area} = \frac{\text{Total Cost}}{\text{Cost per square foot}} = \frac{960}{20} = 48 \text{ ft}^2. \]
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Identify the total area of the carpet and its excluded parts: You mentioned different dimensions (1ft, 4ft, etc.), but without the image or a clear description of the carpet's full dimensions and the specific sections labeled, we'll make assumptions based on common room sizes or clarify these dimensions.
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Assuming the listed parts are potential areas to be excluded: If we sum the dimensions you provided that can be excluded:
- 1 ft
- 4 ft
- 4 ft
- 8 ft
- 2 ft
- 5 ft
- 2 ft
Let’s find the total area: \[ 1 + 4 + 4 + 8 + 2 + 5 + 2 = 26 \text{ ft}^2. \]
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Determine what mixture of excluded parts will equal the amount needed to reduce the total area to 48 ft². We need the total area without exclusions so that excluded area + remaining area = total area of carpet.
To know what area to exclude, we first need to know the total area of the carpet. If the total is more than 48 ft², we can figure out what sections to exclude; otherwise, we are likely under the budget.
Without specific details of the entire carpet area or proportions of the omitted areas, let's broadly put it this way:
If the total area is greater than 48 ft², you would sum the excluded amounts until you reach or just exceed the required amount to reach $960. If excluding a 4ft area (or areas equating to 4ft overall) allows this cost realization, then subtract the sections that lead to the budget met.
Just remember, logically sum the excluded sections against the total area until the remaining total yields the expected carpet area of $960 at given cost of $20/ft². If further information or clear measures are provided, we can execute a more precise analysis.