Bobby draws an artwork measuring 2.25 inches by 2 Inches. He makes a copy of the artwork, enlarging it so that 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? Write your answer as a decimal
To find the scale factor, we can divide the corresponding side lengths of the enlarged artwork by the corresponding side lengths of the original artwork.
For the length: scale factor = 3.15 inches / 2.25 inches = 1.4
For the width: scale factor = 2.8 inches / 2 inches = 1.4
Therefore, the scale factor that Bobby used to create the copy of the original artwork is 1.4.
To find the scale factor, we need to compare the dimensions of the original artwork with the dimensions of the copy.
Original artwork dimensions:
Length = 2.25 inches
Width = 2 inches
Copy of the artwork dimensions:
Length = 3.15 inches
Width = 2.8 inches
To find the scale factor for the length, we divide the length of the copy by the length of the original:
Scale factor = Length of copy / Length of original
Scale factor = 3.15 inches / 2.25 inches
To find the scale factor for the width, we divide the width of the copy by the width of the original:
Scale factor = Width of copy / Width of original
Scale factor = 2.8 inches / 2 inches
Now, we can calculate the scale factor:
Scale factor = (3.15 inches / 2.25 inches) = 1.4
Scale factor = (2.8 inches / 2 inches) = 1.4
Therefore, the scale factor used to create the copy of the original artwork is 1.4 (as a decimal).
To find the scale factor, we can compare the corresponding sides of the two artworks.
For the height, the original artwork measures 2 inches, and the copy measures 2.8 inches. To find the scale factor, we divide the height of the copy by the height of the original: 2.8 inches / 2 inches = 1.4.
For the width, the original artwork measures 2.25 inches, and the copy measures 3.15 inches. Again, we divide the width of the copy by the width of the original: 3.15 inches / 2.25 inches = 1.4.
Since the scale factor is the same for both the height and width, we can conclude that Bobby used a scale factor of 1.4 to create the copy of the original artwork.
Therefore, the scale factor is 1.4 (as a decimal).