Tess builds a sandbox in the shape of a regular hexagon in which all the sides are 40 inches long. Sgectgen 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 need to compare the sides of the actual hexagon with the sides of the hexagon in the photo.

The actual sides of the hexagon are 40 inches, and in the photo, the sides are each 4 inches.

The scale factor can be determined by the ratio of the side length in the photo to the actual side length:

\[ \text{Scale Factor} = \frac{\text{Length in Photo}}{\text{Actual Length}} = \frac{4 \text{ inches}}{40 \text{ inches}} = \frac{4}{40} = \frac{1}{10} \]

To express this as a decimal, we can perform the division:

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

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

\[ \boxed{0.1} \]