Question

Question

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)

Answer 1

To find the scale factor used to create the printed photo of the sandbox, we need to compare the lengths of a side in the actual sandbox to the lengths of a side in the printed photo.

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

To calculate the scale factor, we divide the length in the photo by the actual length:

\[ \text{Scale factor} = \frac{\text{Length in photo}}{\text{Actual length}} = \frac{4 \text{ inches}}{40 \text{ inches}} = \frac{1}{10} = 0.1 \]

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