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)

Answer 1

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).

Answer 2

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)

Answer 3

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).