I'm sorry, but I cannot view images. However, if you provide me with the original dimensions of the rectangle and the dimensions of the enlarged rectangle, I can help you calculate the scale factor. The scale factor can be found by dividing the dimensions of the enlarged rectangle by the dimensions of the original rectangle.
Question
Use the image to answer the question.
What scale factor was used to enlarge the rectangle in the image? The measurements refer to inches. Give your answer as a decimal. .
3 answers
9 in
5.4 in
3 in
5 in
5.4 in
3 in
5 in
To find the scale factor used to enlarge the rectangle, you can compare the corresponding sides of the original rectangle and the enlarged rectangle.
Original dimensions:
- Width: 3 inches
- Height: 5 inches
Enlarged dimensions:
- Width: 9 inches
- Height: 5.4 inches
Now calculate the scale factors for each dimension:
-
For the width: \[ \text{Scale factor (width)} = \frac{\text{Enlarged width}}{\text{Original width}} = \frac{9 \text{ in}}{3 \text{ in}} = 3 \]
-
For the height: \[ \text{Scale factor (height)} = \frac{\text{Enlarged height}}{\text{Original height}} = \frac{5.4 \text{ in}}{5 \text{ in}} = 1.08 \]
Since the scale factors for width and height are different, the enlargement does not maintain the same proportions. Thus, there are two different scale factors depending on which dimension you are considering.
If you are looking for a uniform scale factor that would apply equally to both dimensions, it does not exist in this case. However, if you're just looking for the scale factors as calculated:
- Width scale factor: 3
- Height scale factor: 1.08
If you need a single value to represent some form of scaling, consider mentioning which dimension or how you would like to approach this.
1 answer