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.
The scale factor can be found by dividing the length of the side in the photo by the length of the corresponding side in real life.
In this case, the length of the side in the photo is 4 inches and the length of the corresponding side in real life is 40 inches.
Therefore, the scale factor is 4/40, which simplifies to 1/10.
The scale factor used to create the printed photo of the sandbox is 1/10.
To identify the scale factor used in the photo, we need to compare the lengths of the sides in the sandbox and the lengths in the photo.
1. Calculate the ratio of the sandbox side length to the photo side length:
Sandbox side length: 40 inches
Photo side length: 4 inches
Ratio = Sandbox side length / Photo side length
= 40 inches / 4 inches
= 10
2. The ratio of 10 means that each side in the photo is 10 times smaller than the corresponding side in the sandbox.
Therefore, the scale factor used to create the printed photo of the sandbox is 1:10.
To identify the scale factor used to create the printed photo of the sandbox, we need to find the ratio between the sides of the actual sandbox and the sides in the printed photo.
The length of each side of the actual sandbox is given as 40 inches, and in the photo, each side is 4 inches long.
So, the scale factor can be calculated by dividing the length of a side in the photo by the length of the corresponding side on the actual sandbox.
Scale factor = Length in photo / Length in actual sandbox
Scale factor = 4 inches / 40 inches
Simplifying the ratio, we have:
Scale factor = 1/10
Therefore, the scale factor that was used to create the printed photo of the sandbox is 1/10.