Answer:
$3028
Step-by-step explanation:
A 15ft by 20ft brick patio would cost about $2,275 to have professionally installed.
![\begin{gathered} \text{Area of the patio}=15*20 \\ =300ft^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hqgkq2qflaf87r1jnt3n9624tq7s72fcl8.png)
Therefore, the unit cost (cost per ft²) will be:
![=(\$2275)/(300ft^2)\text{ }](https://img.qammunity.org/2023/formulas/mathematics/college/3wws7d54jyjyyozvzxxog6h5knc3xzh6gv.png)
If the dimension of the new patio is 19ft by 21ft
![\begin{gathered} \text{Area of the new patio=}19*21 \\ =399ft^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/w0ify4ymqdvgy24105yw8yu6ghew6bljjy.png)
Therefore, the estimated cost will be:
![\begin{gathered} =(\$2275)/(300ft^2)*399ft^2 \\ =\$3025.75 \\ =\$3028\text{ (to the nearest dollar)} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/knslso5s7evog33x8uqxtiuruvo43kbsig.png)