Tess build a sandbox in the shape of a regular hexagon which all the sides are 40 inches long she then takes a photo of the sandbox and prints. The photo in the photo of the sides of the hexagon or 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 need to compare the lengths of the sides of the actual hexagon to the lengths of the sides in the photo.

The sides of the actual sandbox are 40 inches long, while the sides of the hexagon in the photo are 4 inches long.

The scale factor is calculated as follows:

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

Calculating this gives:

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

Therefore, the scale factor used to create the printed photo of the sandbox is \( \boxed{0.1} \).