Tess builds a sandbox in the shape of a regular hexagon in which all the sides are 40 inches long. She then takes a photo of the sandbox and prints the photo. In the photo, the sides of the hexagon are each 4 inches long. Identify the scale factor that was used to create the printed photo of the sandbox. Express your answer as a decimal.(1 point)
0.1
To find the scale factor, we need to compare the lengths of the corresponding sides in the original sandbox and the printed photo.
The length of a side in the original sandbox is 40 inches, while the length of the corresponding side in the printed photo is 4 inches.
To find the scale factor, we divide the length in the photo (4 inches) by the length in the original sandbox (40 inches):
Scale factor = 4 inches / 40 inches
Simplifying the fraction:
Scale factor = 0.1
Therefore, the scale factor used to create the printed photo of the sandbox is 0.1.
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 determine the scale factor, you need to compare the lengths of the corresponding sides in the actual sandbox and the printed photo.
In the actual sandbox, each side of the regular hexagon is 40 inches long.
In the printed photo, each side of the hexagon is 4 inches long.
By comparing these lengths, you can calculate the scale factor.
The formula for calculating the scale factor is:
Scale Factor = Length in Photo / Actual Length
Using this formula, we can calculate the scale factor in this case:
Scale Factor = 4 inches / 40 inches
Dividing 4 by 40 gives a scale factor of 0.1.
Therefore, the scale factor used to create the printed photo of the sandbox is 0.1.