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.
The scale factor is the ratio of the length of a side in the printed photo to the length of the corresponding side in the actual sandbox. In this case, a side in the printed photo is 4 inches long, while the corresponding side in the sandbox is 40 inches long. Thus, the scale factor is $4/40$, which simplifies to $\boxed{0.1}$.
To find the scale factor, we can compare the lengths of corresponding sides on the original hexagon and the printed photo of the sandbox.
Given that the sides of the original hexagon are 40 inches long and the sides in the printed photo are 4 inches long, we can set up a ratio:
original side length : printed side length
40 inches : 4 inches
Simplifying this ratio by dividing both sides by 4 gives:
10 inches : 1 inch
Therefore, the scale factor used to create the printed photo is 10:1, which can be expressed as a decimal as 10.
To identify the scale factor used to create the printed photo of the sandbox, we can calculate the ratio of the side lengths between the actual sandbox and the printed photo.
The side length of the actual sandbox is 40 inches, while the side length in the printed photo is 4 inches.
To find the scale factor, we divide the side length in the photo by the side length of the actual sandbox:
Scale Factor = (Side length in photo) / (Side length in actual sandbox) = 4 inches / 40 inches
Simplifying the fraction by dividing both numerator and denominator by 4, we get:
Scale Factor = 1/10
So, the scale factor used to create the printed photo of the sandbox is 1/10 or 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)
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