Question
You read online that a 15 ft by 20 ft brick patio would cost about \( \$ 2,275 \) to have professionally installed. Calculate the cost of having a 17 by 29 ft brick patio installed. Round your answer to the nearest dollar. Check Answer
Ask by Zimmerman Ruiz. in the United States
Feb 07,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The cost of a 17 by 29 ft brick patio is approximately $3,739.
Solution
To calculate the cost of having a 17 by 29 ft brick patio installed, we can use the given information about the cost of a 15 ft by 20 ft brick patio.
Given:
- Cost of a 15 ft by 20 ft brick patio = $2,275
Let's calculate the cost of a 17 by 29 ft brick patio using the given information.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{2275}{15\times 20}\times 17\times 29\)
- step1: Reduce the fraction:
\(\frac{91}{12}\times 17\times 29\)
- step2: Multiply the terms:
\(\frac{1547}{12}\times 29\)
- step3: Multiply:
\(\frac{1547\times 29}{12}\)
- step4: Multiply:
\(\frac{44863}{12}\)
The cost of having a 17 by 29 ft brick patio installed would be approximately $3,738.58.
Rounding this to the nearest dollar, the cost would be $3,739.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the cost of a 17 ft by 29 ft brick patio, we first need to determine the cost per square foot based on the 15 ft by 20 ft patio. The area of the 15 ft by 20 ft patio is: \[ 15 \times 20 = 300 \text{ sq ft} \] The cost per square foot is: \[ \frac{2275}{300} \approx 7.58 \text{ dollars/sq ft} \] Next, calculate the area of the 17 ft by 29 ft patio: \[ 17 \times 29 = 493 \text{ sq ft} \] Then, multiply the area by the cost per square foot: \[ 493 \times 7.58 \approx 3736.34 \] Rounding to the nearest dollar, the total cost would be approximately \( \$3,736 \). So, the cost to have a 17 ft by 29 ft brick patio installed is approximately \( \$3,736 \).
