Final answer:
To find the scale factor used by Stephanie for the rectangle dilation, the original dimensions are needed for comparison. Without them, we cannot provide the scale factor but can review how to calculate it with similar problems.
Step-by-step explanation:
To determine the scale factor used by Stephanie when she dilated the rectangle, you need to compare the dimensions of the original rectangle to the dimensions of the dilated image. However, since the original dimensions are not given, we cannot provide the scale factor. Instead, let's review how to find the scale factor with some general examples.
- For a scale of 2 inches to 8 feet, to find the scale factor, convert both measurements to the same units and divide the representation dimension by the actual dimension to get the scale factor.
- If a rectangle has a width of 2 inches and a similar rectangle has a width of 9 inches, you can find the scale factor by dividing the smaller width by the larger width, which would be 2/9.
- A scale drawing with a scale factor of 1 inch = 4 feet has a scale factor of 1/48 when you convert feet to inches, since there are 12 inches in a foot.
When you know either the original dimensions or the final dimensions along with the scale factor, you can find the missing dimensions by using the scale factor.