You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 13 by 25 ft brick patio installed.

To estimate the cost of having a 13 ft by 25 ft brick patio installed, you can use a proportion based on the area of the patio.

### Step 1: Calculate the Area of Both Patios
- **Original patio:** $ 15 \text{ ft} \times 20 \text{ ft} = 300 \text{ square feet} $
- **New patio:** $ 13 \text{ ft} \times 25 \text{ ft} = 325 \text{ square feet} $

### Step 2: Set Up the Proportion
The cost is likely proportional to the area, so you can set up the proportion:

\[
\frac{\text{Cost of original patio}}{\text{Area of original patio}} = \frac{\text{Cost of new patio}}{\text{Area of new patio}}
\]

\[
\frac{2275 \text{ dollars}}{300 \text{ square feet}} = \frac{C}{325 \text{ square feet}}
\]

### Step 3: Solve for the Cost of the New Patio $ C $

\[
C = \frac{2275 \times 325}{300}
\]

\[
C = \frac{739375}{300} \approx 2464.58 \text{ dollars}
\]

### Final Estimate:
The estimated cost of having the 13 ft by 25 ft brick patio installed is approximately **$2,464.58**.

Would you like more details or have any questions?

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Here are some related questions you might find useful:
1. How do variations in labor costs affect the overall price?
2. What other factors could influence the cost per square foot?
3. How would adding a border or custom design affect the pricing?
4. What is the typical cost difference between DIY and professional installation?
5. How do material costs vary for different types of patios?

**Tip:** When estimating costs for larger or smaller projects, always consider additional factors like labor, materials, and regional price variations.

Learn how to estimate the cost of installing a 13 ft by 25 ft brick patio based on a proportional method. This problem involves calculating the area of two different-sized patios and setting up a proportion to find the installation cost. Suitable for students in Grades 6-8.

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