Tessa 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 answer

To find the scale factor used to create the printed photo of the sandbox, we start by comparing the sides of the actual sandbox to the printed photo.

  1. Length of the sides of the actual hexagon: 40 inches
  2. Length of the sides of the printed hexagon: 4 inches

The scale factor is determined by the ratio of the length of the sides in the photo to the length of the sides in reality:

\[ \text{Scale Factor} = \frac{\text{Length in Photo}}{\text{Actual Length}} = \frac{4 \text{ inches}}{40 \text{ inches}} \]

Now we can simplify this fraction:

\[ = \frac{4}{40} = \frac{1}{10} = 0.1 \]

Thus, the scale factor that was used to create the printed photo of the sandbox is:

\[ \boxed{0.1} \]