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?
A. 2 1/3
B. 3/8
C. 11
D. 2 2/3
To find the scale factor, we need to compare the lengths of corresponding sides in the original object and the photograph.
In the original object, each side measures 3 centimeters.
In the photograph, each side measures 8 centimeters.
So, the scale factor is the ratio of the lengths of the corresponding sides:
Scale factor = 8 centimeters / 3 centimeters
Simplifying this ratio, we have:
Scale factor = 8/3
The scale factor is not a whole number, so we'll convert it to a mixed number:
8 ÷ 3 = 2 remainder 2
Therefore, the scale factor is 2 and 2/3.
A more simplified version of 2 and 2/3 is 8/3.
So, the scale factor is 8/3.
Answer: D. 2 2/3
To find the scale factor, we need to compare the length of the sides in the original object to the length of the sides in the photograph.
The length of each side in the original object is 3 centimeters.
The length of each side in the photograph is 8 centimeters.
To find the scale factor, we can divide the length of the corresponding sides in the photograph by the length of the corresponding sides in the original object.
8 centimeters ÷ 3 centimeters = 2 2/3
Therefore, the scale factor Leo used to create the photograph from the original is 2 2/3.
The correct answer is D. 2 2/3.
To determine the scale factor, we need to find the ratio of the length of the sides in the original object to the length of the sides in the photograph.
In the original object, each side measures 3 centimeters. In the photograph, each side measures 8 centimeters.
So, the scale factor can be found by dividing the length of the sides in the photograph by the length of the sides in the original object:
Scale factor = Length in photograph / Length in original object
Scale factor = 8 cm / 3 cm
Scale factor = 2 2/3
Therefore, the scale factor used by Leo to create the photograph from the original is 2 2/3.
The answer is D. 2 2/3.