Leo designs a piece of jewelry in the shape of a regular pentagon. Each side of the object measures 3 centimeters. Leo photographs the object, enlarges it so that the sides each measure 8 centimeters, and prints the photo. What scale factor did Leo use to create the photograph from the original? (1 point)
3/8
2 2/3
2 1/3
11
To find the scale factor, we can divide the new length of one side of the enlarged photograph by the original length of one side of the jewelry.
The new length of one side of the photograph is 8 centimeters, and the original length of one side of the jewelry is 3 centimeters.
So, the scale factor is 8/3.
However, we are asked for the scale factor as a mixed number, so we can simplify 8/3.
8 divided by 3 equals 2 with a remainder of 2.
Therefore, the scale factor is 2 2/3.
The correct answer is 2 2/3.
To find the scale factor, we need to calculate the ratio of the length of the sides in the enlarged photo to the length of the sides in the original object.
In the original object, each side measures 3 centimeters.
In the enlarged photo, each side measures 8 centimeters.
Therefore, the scale factor is calculated as:
Scale factor = Length in Enlarged Photo / Length in Original Object
Scale factor = 8 centimeters / 3 centimeters
Simplifying the fraction gives:
Scale factor = 8/3
Therefore, the scale factor that Leo used to create the photograph from the original is 8/3.
To find the scale factor, we need to compare the length of the sides of the original pentagon with the length of the sides in the photograph.
Given that the sides of the original pentagon measure 3 centimeters and the sides in the photograph measure 8 centimeters, we will divide the length of the sides in the photograph by the length of the sides in the original to find the scale factor.
So, the scale factor is:
8 cm (length in the photograph) divided by 3 cm (length in the original) = 2 2/3.
Therefore, the scale factor used by Leo to create the photograph from the original is 2 2/3.