Question
What will it cost to carpet a rectangular floor 18 by 16 feet if the carpet costs $15 a square yard?
Answers
GPT-4o mini
To calculate the cost to carpet the rectangular floor, follow these steps:
1. **Calculate the area of the floor in square feet**:
\[
\text{Area} = \text{Length} \times \text{Width} = 18 \, \text{ft} \times 16 \, \text{ft} = 288 \, \text{sq ft}
\]
2. **Convert the area from square feet to square yards**:
There are 9 square feet in a square yard (3 feet x 3 feet = 9 square feet).
\[
\text{Area in square yards} = \frac{288 \, \text{sq ft}}{9 \, \text{sq ft/sq yd}} = 32 \, \text{sq yds}
\]
3. **Calculate the total cost of the carpet**:
The cost of the carpet is given as $15 per square yard.
\[
\text{Total Cost} = \text{Area in square yards} \times \text{Cost per square yard} = 32 \, \text{sq yds} \times 15 \, \text{USD/sq yd} = 480 \, \text{USD}
\]
Therefore, the cost to carpet the floor will be **$480**.
1. **Calculate the area of the floor in square feet**:
\[
\text{Area} = \text{Length} \times \text{Width} = 18 \, \text{ft} \times 16 \, \text{ft} = 288 \, \text{sq ft}
\]
2. **Convert the area from square feet to square yards**:
There are 9 square feet in a square yard (3 feet x 3 feet = 9 square feet).
\[
\text{Area in square yards} = \frac{288 \, \text{sq ft}}{9 \, \text{sq ft/sq yd}} = 32 \, \text{sq yds}
\]
3. **Calculate the total cost of the carpet**:
The cost of the carpet is given as $15 per square yard.
\[
\text{Total Cost} = \text{Area in square yards} \times \text{Cost per square yard} = 32 \, \text{sq yds} \times 15 \, \text{USD/sq yd} = 480 \, \text{USD}
\]
Therefore, the cost to carpet the floor will be **$480**.