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)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the scale factor used to create the printed photo, we need to compare the length of the sides of the hexagon in the actual sandbox to the length of the sides of the hexagon in the photo.

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

The scale factor can be calculated using the formula:

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

Substituting 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 that was used to create the printed photo of the sandbox is:

\[ \boxed{0.1} \]