Bobby draws an artwork measuring 2.25 inches. He makes a copy of the artwork, enlarging it so it's dimensions are now 3.15 inches by 2.8 inches. What scale factor did he use to create the copy of the original artwork?
To find the scale factor, we can divide the dimensions of the copy by the dimensions of the original artwork.
The scale factor for the length is 3.15 / 2.25 = 1.4.
The scale factor for the width is 2.8 / 2.25 ≈ 1.24.
Therefore, Bobby used a scale factor of approximately 1.4 for the length and approximately 1.24 for the width to create the copy of the original artwork.
To find the scale factor used to create the copy of the original artwork, you need to compare the dimensions of the original artwork to the dimensions of the copy.
The original artwork measures 2.25 inches.
The copy of the artwork has dimensions of 3.15 inches by 2.8 inches.
To find the scale factor, divide the corresponding dimensions of the copy by the dimensions of the original artwork.
Scale factor = (Dimension of copy) / (Dimension of original)
For the length dimension: Scale factor = 3.15 inches / 2.25 inches
Scale factor = 1.4
For the width dimension: Scale factor = 2.8 inches / 2.25 inches
Scale factor = 1.24
Therefore, the scale factor used to create the copy of the original artwork is approximately 1.4 in length and 1.24 in width.
To find the scale factor used to create the copy of the original artwork, we need to compare the corresponding dimensions of the two artworks. In this case, we compare the width of the original artwork to the width of the copy, as well as the height of the original artwork to the height of the copy.
First, let's find the ratio of the width of the copy to the width of the original artwork:
Width ratio = width of copy / width of original artwork
Width ratio = 3.15 inches / 2.25 inches
Next, let's find the ratio of the height of the copy to the height of the original artwork:
Height ratio = height of copy / height of original artwork
Height ratio = 2.8 inches / 2.25 inches
Now we can compare these ratios. If the artwork was enlarged, the scale factor will be greater than 1. If the artwork was reduced, the scale factor will be between 0 and 1.
So, the scale factor used to create the copy of the original artwork can be found by comparing the width ratio and the height ratio. In this case:
Scale factor = width ratio = height ratio
Scale factor = (3.15 inches / 2.25 inches) = (2.8 inches / 2.25 inches)
Calculating the scale factor:
Scale factor = 1.4 = 1.244
Therefore, Bobby used a scale factor of approximately 1.4 (or 1.244) to create the copy of the original artwork.