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 point)
To find the scale factor, divide the dimensions of the enlarged artwork by the dimensions of the original artwork:
Scale factor = (3.15 inches / 2.25 inches) = (2.8 inches / 2 inches) = 1.4
So, the scale factor is 1.4.
To find the scale factor used to create the copy of the original artwork, we can compare the corresponding dimensions of both artworks.
The original artwork has dimensions of 2.25 inches by 2 inches.
The copy of the artwork has dimensions of 3.15 inches by 2.8 inches.
To find the scale factor, we can divide the corresponding dimensions of the copy by the original dimensions. Let's divide the width dimensions first:
Scale factor (width) = (width of copy) / (width of original)
Scale factor (width) = 3.15 inches / 2.25 inches
Now, let's divide the height dimensions:
Scale factor (height) = (height of copy) / (height of original)
Scale factor (height) = 2.8 inches / 2 inches
We can now calculate the average of the two scale factors to get the overall scale factor:
Scale factor (overall) = (Scale factor (width) + Scale factor (height)) / 2
Substituting the calculated values:
Scale factor (overall) = ((3.15 inches / 2.25 inches) + (2.8 inches / 2 inches)) / 2
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.
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 enlarged artwork are:
Length: 3.15 inches
Width: 2.8 inches
The dimensions of the original artwork are:
Length: 2.25 inches
Width: 2 inches
To find the scale factor for the length, we divide the length of the enlarged artwork by the length of the original artwork:
Scale factor length = 3.15 inches / 2.25 inches = 1.4
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 = 2.8 inches / 2 inches = 1.4
Since both the scale factors for the length and width are equal to 1.4, the scale factor used to create the copy of the original artwork is 1.4.