Question
Challenge If installed carpet costs $1.40 per square foot, how much will it cost to carpet the entire living room floor of the cabin?
Question content area bottom left
Part 1
It will cost $
enter your response here to carpet the entire living room floor.
.
.
.
Question content area right
Part 1
1 inch equals 5 feet
The gridlines are spaced 1 inch apart.
Question content area bottom left
Part 1
It will cost $
enter your response here to carpet the entire living room floor.
.
.
.
Question content area right
Part 1
1 inch equals 5 feet
The gridlines are spaced 1 inch apart.
Answers
GPT-4o mini
To compute the cost of carpeting the living room floor, we first need to determine the area of the floor in square feet based on the grid provided.
Since the gridlines are spaced 1 inch apart and 1 inch equals 5 feet, we can convert any measurements given in inches into feet.
### Steps to Solve:
1. **Measure the Dimensions:**
- Count the number of inches in the length and width of the room from the grid.
- Convert those measurements from inches to feet using the conversion factor (1 inch = 5 feet).
2. **Calculate the Area:**
- Use the formula for the area of a rectangle:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
3. **Calculate the Cost:**
- Multiply the area (in square feet) by the cost per square foot of carpet:
\[
\text{Total Cost} = \text{Area} \times \text{Cost per square foot}
\]
4. **Provide the Final Answer:**
- Enter the total cost.
### Example Calculation:
Assume you measured the room dimensions as follows (it’s important to have actual measurements).
- Length = 12 inches (2.5 feet)
- Width = 10 inches (over 2 feet)
So, converting these to feet:
- Length in feet: \(12 \text{ inches} = 12 \times 5 = 60 \text{ feet}\)
- Width in feet: \(10 \text{ inches} = 10 \times 5 = 50 \text{ feet}\)
Now calculate the area:
\[
\text{Area} = 60 \text{ feet} \times 50 \text{ feet} = 3000 \text{ square feet}
\]
Next, calculate the total cost:
\[
\text{Cost} = 3000 \text{ square feet} \times 1.40 \text{ dollars/square foot} = 4200 \text{ dollars}
\]
### Answer
It will cost **$4200.00** to carpet the entire living room floor.
*Please replace the example dimensions with actual measurements from your grid to get the correct area and cost.*
Since the gridlines are spaced 1 inch apart and 1 inch equals 5 feet, we can convert any measurements given in inches into feet.
### Steps to Solve:
1. **Measure the Dimensions:**
- Count the number of inches in the length and width of the room from the grid.
- Convert those measurements from inches to feet using the conversion factor (1 inch = 5 feet).
2. **Calculate the Area:**
- Use the formula for the area of a rectangle:
\[
\text{Area} = \text{Length} \times \text{Width}
\]
3. **Calculate the Cost:**
- Multiply the area (in square feet) by the cost per square foot of carpet:
\[
\text{Total Cost} = \text{Area} \times \text{Cost per square foot}
\]
4. **Provide the Final Answer:**
- Enter the total cost.
### Example Calculation:
Assume you measured the room dimensions as follows (it’s important to have actual measurements).
- Length = 12 inches (2.5 feet)
- Width = 10 inches (over 2 feet)
So, converting these to feet:
- Length in feet: \(12 \text{ inches} = 12 \times 5 = 60 \text{ feet}\)
- Width in feet: \(10 \text{ inches} = 10 \times 5 = 50 \text{ feet}\)
Now calculate the area:
\[
\text{Area} = 60 \text{ feet} \times 50 \text{ feet} = 3000 \text{ square feet}
\]
Next, calculate the total cost:
\[
\text{Cost} = 3000 \text{ square feet} \times 1.40 \text{ dollars/square foot} = 4200 \text{ dollars}
\]
### Answer
It will cost **$4200.00** to carpet the entire living room floor.
*Please replace the example dimensions with actual measurements from your grid to get the correct area and cost.*