Bobby draws an artwork measuring 2.25 inches by 2 inches. He makes a copy of the artwork, enlarging it so that its dimensions are now 3.15 inches by 2.8 inches. What scale factor did he use to create the copy of the original artwork? Write your answer as a decimal.
1.4
To find the scale factor, we can divide the dimensions of the enlarged artwork by the dimensions of the original artwork.
The dimensions of the original artwork are 2.25 inches by 2 inches.
The dimensions of the enlarged artwork are 3.15 inches by 2.8 inches.
To find the scale factor for the width, we divide the width of the enlarged artwork by the width of the original artwork:
Scale factor = (3.15 inches) / (2.25 inches)
To find the scale factor for the height, we divide the height of the enlarged artwork by the height of the original artwork:
Scale factor = (2.8 inches) / (2 inches)
Considering the smaller of the two scale factors, we find that the scale factor is approximately 1.4.
Therefore, the scale factor used to create the copy of the original artwork is approximately 1.4.
To find the scale factor, we can divide the dimensions of the enlarged artwork by the dimensions of the original artwork.
For the width, we divide 3.15 inches by 2.25 inches:
3.15 / 2.25 = 1.4
For the height, we divide 2.8 inches by 2 inches:
2.8 / 2 = 1.4
Therefore, the scale factor used to create the copy of the original artwork is 1.4.