Given that the design of the stream has an area of 12 in^2.
We have to find the scale factor if the area of the larger version is 147 in^2.
It is known that the area of a scaled object will be equal to the scale factor squared.
Let the scale factor be x. So,
[tex]\begin{gathered} 12x^2=147 \\ x^2=\frac{147}{12} \\ x^2=12.25 \\ x=\sqrt[]{12.25} \\ x=3.5 \end{gathered}[/tex]So, the scale factor is 3.5.
