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 answer

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

The length of a side in the actual sandbox is 40 inches.
The length of a side in the printed photo is 4 inches.

The scale factor is found by dividing the length in the printed photo by the length in the actual sandbox.

Scale factor = 4 inches / 40 inches = 1/10 = 0.1

Therefore, the scale factor used to create the printed photo of the sandbox is 0.1.