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A company is designing a steamer for their upcomingThe design of the stream has an area of 12 in^2. If they wantto manufacture a larger version of the sign with an area of147 in^2, what scale factor would they need to use?

Respuesta :

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.

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