Question
How do I scale down 12 feet to match a scaled-down width of 2 feet from an original width of 8 feet?
Answers
GPT-4o mini
To scale down a width from 8 feet to 2 feet, you can determine the scaling factor by dividing the scaled-down width by the original width:
\[
\text{Scaling Factor} = \frac{\text{Scaled-Down Width}}{\text{Original Width}} = \frac{2 \text{ feet}}{8 \text{ feet}} = \frac{1}{4}
\]
This means that everything needs to be reduced to one-fourth of its original size.
Next, to find out how to scale down 12 feet, you would multiply the original amount by the scaling factor:
\[
\text{Scaled-Down Length} = \text{Original Length} \times \text{Scaling Factor} = 12 \text{ feet} \times \frac{1}{4} = 3 \text{ feet}
\]
Therefore, when scaling down from 12 feet using the same factor that reduced 8 feet to 2 feet, the scaled-down length would be **3 feet**.
\[
\text{Scaling Factor} = \frac{\text{Scaled-Down Width}}{\text{Original Width}} = \frac{2 \text{ feet}}{8 \text{ feet}} = \frac{1}{4}
\]
This means that everything needs to be reduced to one-fourth of its original size.
Next, to find out how to scale down 12 feet, you would multiply the original amount by the scaling factor:
\[
\text{Scaled-Down Length} = \text{Original Length} \times \text{Scaling Factor} = 12 \text{ feet} \times \frac{1}{4} = 3 \text{ feet}
\]
Therefore, when scaling down from 12 feet using the same factor that reduced 8 feet to 2 feet, the scaled-down length would be **3 feet**.