Leo designs a piece of jewelry in the shape of a regular pentagon. Each side of the objects 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 2/3
B. 11
C. 3/8
D. 2 1/3
To find the scale factor that Leo used to enlarge the photograph, we can simply divide the new side length by the original side length.
The original side length is 3 centimeters, and the enlarged side length is 8 centimeters. So the scale factor can be computed as:
Scale Factor = Enlarged side length / Original side length
Scale Factor = 8 cm / 3 cm
To divide these two numbers, perform the division:
Scale Factor = 8 รท 3
Scale Factor = 2 remainder 2
Convert the remainder to a fraction by putting it over the original divisor:
Scale Factor = 2 2/3
Therefore, the scale factor Leo used to create the photograph from the original is 2 2/3, which corresponds to option A.