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
To find the scale factor, we can divide the dimensions of the enlarged artwork by the original artwork.
For the length: 3.15 inches / 2.25 inches = 1.4
For the width: 2.8 inches / 2 inches = 1.4
Since both dimensions have the same scale factor, Bobby used a scale factor of 1.4 to create the copy of the original artwork.
To find the scale factor, we can compare the dimensions of the original artwork to the dimensions of the enlarged copy.
Original artwork: 2.25 inches by 2 inches
Enlarged copy: 3.15 inches by 2.8 inches
To find the scale factor in terms of width, we divide the width of the enlarged copy by the width of the original artwork:
Scale factor (width) = 3.15 inches / 2.25 inches = 1.4
To find the scale factor in terms of height, we divide the height of the enlarged copy by the height of the original artwork:
Scale factor (height) = 2.8 inches / 2 inches = 1.4
Since the scale factor is the same for both width and height, we can conclude that 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 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 (width) = 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 (height) = 2.8 inches / 2 inches
Now we have the scale factors for both the width and the height. To find the overall scale factor, we can take the average of the two scale factors.
Scale factor (overall) = (Scale factor (width) + Scale factor (height)) / 2
Substituting the values we found earlier:
Scale factor (overall) = (3.15 inches / 2.25 inches + 2.8 inches / 2 inches) / 2
Evaluating the expression:
Scale factor (overall) = (1.4 + 1.4) / 2
Scale factor (overall) = 2.8 / 2
Scale factor (overall) = 1.4
Therefore, the scale factor used to create the copy of the original artwork is 1.4 (written as a decimal).