Jean’s bedroom is 10’ x 12’. She has chosen a carpet which costs $28.40 per square yard. This includes installation. Determine her cost to carpet her room.

To determine the cost of carpeting Jean's bedroom, follow these steps:

1. **Calculate the area of the bedroom in square feet:**
   \[
   \text{Area} = \text{Length} \times \text{Width} = 10' \times 12' = 120 \text{ square feet}
   \]

2. **Convert the area from square feet to square yards:**

   There are 9 square feet in 1 square yard (since $1 \text{ yard} = 3 \text{ feet}$, so $1 \text{ square yard} = 3' \times 3' = 9 \text{ square feet}$).

   \[
   \text{Area in square yards} = \frac{120 \text{ square feet}}{9 \text{ square feet per square yard}} = 13.33 \text{ square yards}
   \]

3. **Calculate the total cost:**
   \[
   \text{Total cost} = \text{Area in square yards} \times \text{Cost per square yard}
   \]
   \[
   \text{Total cost} = 13.33 \text{ square yards} \times \$28.40 \text{ per square yard} = \$378.652
   \]

   Rounding to the nearest cent, the total cost is approximately **$378.65**.

### Do you have any questions or need more details?

Here are some related questions:

1. How would the cost change if the carpet price was $30 per square yard?
2. What is the cost if Jean's room was 15 feet by 12 feet?
3. How would the cost be affected if the room size was given in meters instead of feet?
4. How does the installation cost impact the overall price?
5. What if Jean had to carpet an entire house with the same carpet? How would you calculate that?

**Tip:** When converting between units, always double-check the conversion factor to ensure accuracy.

Learn how to calculate the cost to carpet Jean's bedroom, which is 10 feet by 12 feet. Includes step-by-step calculation of area, unit conversion from square feet to square yards, and total cost calculation based on the given carpet price of $28.40 per square yard.

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