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

1 answer

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 รท 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