Each side of a square classroom is 9 yards long. The school wants to replace the carpet in the classroom with new carpet that costs $25.96 per square yard. How much will the new carpet cost?




$

To determine the cost of the new carpet, follow these steps:

1. **Calculate the area of the classroom:**
   - Each side of the square classroom is 9 yards long.
   - The area $ A $ of a square is given by the formula:
     \[
     A = \text{side}^2
     \]
   - So, the area of the classroom is:
     \[
     A = 9 \text{ yards} \times 9 \text{ yards} = 81 \text{ square yards}
     \]

2. **Calculate the total cost of the new carpet:**
   - The cost of the carpet is $25.96 per square yard.
   - The total cost $ C $ is given by the formula:
     \[
     C = \text{area} \times \text{cost per square yard}
     \]
   - So, the total cost is:
     \[
     C = 81 \text{ square yards} \times 25.96 \text{ dollars per square yard}
     \]

3. **Perform the multiplication:**
   \[
   C = 81 \times 25.96 = 2103.76
   \]

Thus, the total cost of the new carpet is:
\[
\boxed{2103.76 \text{ dollars}}
\]

Would you like more details or have any questions about this solution?

Here are 8 related questions to further explore:

1. How would the cost change if the classroom were 10 yards long on each side?
2. What is the cost per square yard if the total cost is $2103.76 for 90 square yards?
3. How much would it cost to carpet a classroom that is 8 yards long on each side at the same rate?
4. If the price of the carpet increases by 10%, what will be the new total cost?
5. How many square yards are needed for a classroom that is 12 yards by 15 yards?
6. How much would it cost to carpet a rectangular classroom measuring 7 yards by 11 yards?
7. What would be the total cost if a discount of 5% is applied to the final price?
8. If the installation fee is $300 on top of the carpet cost, what will be the total cost?

**Tip:** When dealing with square or rectangular areas, always remember to square the side length for squares or multiply length by width for rectangles to find the area.

Learn how to calculate the cost of new carpet for a square classroom with sides of 9 yards each. Detailed step-by-step solution using the area formula and cost per square yard. Suitable for Grades 5-6.

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