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, we divide the dimensions of the copy by the dimensions of the original artwork:
Scale factor = (Length of copy / Length of original) = 3.15 / 2.25 = 1.4
Scale factor = (Width of copy / Width of original) = 2.8 / 2 = 1.4
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 for width = 3.15 inches / 2.25 inches = 1.4
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 for height = 2.8 inches / 2 inches = 1.4
Since the scale factor is the same for both the width and height, we can conclude that the scale factor 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 (2.25 inches by 2 inches) with the dimensions of the enlarged copy (3.15 inches by 2.8 inches).
To determine the scale factor for the length, we divide the length of the enlarged artwork by the length of the original artwork:
Scale factor for length = Length of enlarged artwork / Length of original artwork
= 3.15 inches / 2.25 inches
= 1.4
To determine the scale factor for the width, we divide the width of the enlarged artwork by the width of the original artwork:
Scale factor for width = Width of enlarged artwork / Width of original artwork
= 2.8 inches / 2 inches
= 1.4
Since the scale factor is the same for both length and width, we can conclude that Bobby used a scale factor of 1.4 to create the copy of the original artwork.
Answer: The scale factor used by Bobby is 1.4.
Use the image to answer the question. What scale factor was used to enlarge the rectangle. the smaller rectangle consists of 3inches and 5inches. and the large rectangle consists of 9 inches and 5.4 inches. The measurements refer to inches. Give your answer as a decimal. (1 point)
To find the scale factor, we divide the dimensions of the larger rectangle by the dimensions of the smaller rectangle:
Scale factor = (Length of larger rectangle / Length of smaller rectangle) = 9 inches / 3 inches = 3
Scale factor = (Width of larger rectangle / Width of smaller rectangle) = 5.4 inches / 5 inches = 1.08
Since the scale factor is not the same for both length and width, we need to find the average scale factor:
Average scale factor = (Scale factor for length + Scale factor for width) / 2
= (3 + 1.08) / 2
= 4.08 / 2
= 2.04
The scale factor used to enlarge the rectangle is 2.04 (as a decimal).