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)
The scale factor is determined by taking the length of one side of the printed photo and dividing it by the length of the corresponding side on the actual sandbox.
In this case, the length of one side of the printed photo is 4 inches, while the length of one side of the actual sandbox is 40 inches.
Therefore, the scale factor is 4/40 = 1/10 = 0.1.
To find the scale factor, we need to compare the lengths of the corresponding sides in the actual sandbox and the printed photo.
In the actual sandbox, all sides of the regular hexagon are 40 inches long. Let's call this length "A".
In the printed photo, all sides of the hexagon are 4 inches long. Let's call this length "B".
The scale factor is given by the ratio of the lengths of the corresponding sides:
Scale factor = Length in photo / Length in actual sandbox
Scale factor = B / A
Scale factor = 4 inches / 40 inches
Simplifying the ratio, we get:
Scale factor = 1/10
Therefore, the scale factor used to create the printed photo of the sandbox is 0.1 (expressed as a decimal).
To find the scale factor that was used to create the printed photo of the sandbox, we can compare the lengths of the sides in the actual sandbox and the printed photo.
The length of each side of the actual sandbox is 40 inches.
The length of each side in the printed photo is 4 inches.
So, the scale factor can be found by dividing the length of the side in the printed photo by the length of the side in the actual sandbox:
Scale factor = (Length of side in printed photo) / (Length of side in actual sandbox)
Scale factor = 4 inches / 40 inches
Simplifying the fraction, we get:
Scale factor = 1/10 or 0.1 (as a decimal)
Therefore, the scale factor used to create the printed photo of the sandbox is 0.1.