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) ,.

1 answer

To determine the scale factor used to create the printed photo of the sandbox, we can compare the dimensions of the actual sandbox to the dimensions shown in the photo.

The actual side length of the hexagon in the sandbox is 40 inches, and the side length represented in the photo is 4 inches.

The scale factor can be calculated using the formula:

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

Substituting in the values we have:

\[ \text{Scale Factor} = \frac{4 \text{ inches}}{40 \text{ inches}} = \frac{4}{40} = \frac{1}{10} = 0.1 \]

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

\[ \boxed{0.1} \]