Tess build a sandbox in the shape of a regular hexagon in which all 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.
To find the scale factor, we can divide the length of the corresponding sides of the sandbox and the printed photo.
The length of a side of the sandbox is 40 inches, while the length of a side in the printed photo is 4 inches.
Therefore, the scale factor is:
$40/4 = 10$
Hence, the scale factor used to create the printed photo of the sandbox is 10, expressed as a decimal.
To find the scale factor, we need to compare the length of one side of the actual sandbox to the length of one side in the printed photo.
Given:
Length of one side of the actual sandbox = 40 inches
Length of one side in the printed photo = 4 inches
To find the scale factor, we can divide the length of one side of the actual sandbox by the length of one side in the printed photo:
Scale factor = Length of one side of the actual sandbox / Length of one side in the printed photo
Scale factor = 40 inches / 4 inches
Dividing the numerator by the denominator:
Scale factor = 10
Therefore, the scale factor is 10.
To determine the scale factor that was used to create the printed photo of the sandbox, we need to compare the lengths of the sides in the actual sandbox to the lengths of the sides in the printed photo.
Given that the actual sandbox has sides measuring 40 inches each, and the printed photo shows sides measuring 4 inches each, we can set up a ratio to find the scale factor.
Let's denote the scale factor as "x". A ratio comparing the lengths of the sides in the sandbox (actual) to the lengths of the sides in the printed photo would be:
(actual sandbox side length) / (printed photo side length) = x
Plugging in the given values:
40 inches / 4 inches = x
Simplifying:
10 = x
Therefore, the scale factor used to create the printed photo of the sandbox is 10.