Leo designs, a piece of jewelry in the shape of a regular pentagon. Each side of the object measures 3 cm. Leo photographed the object, in larges, it says that the sides each measure 8 cm, and prints the photo. What scale factor did Leo used to create the photograph from the original?

2 1/3
11
3/8
2 2/3

1 answer

To find the scale factor, we need to compare the lengths of the sides in the original object to the lengths of the sides in the photograph.

The original object has sides that each measure 3 cm.
The photograph shows sides that each measure 8 cm.

To find the scale factor, we can divide the length of each side in the photograph by the length of the corresponding side in the original object.

(8 cm) / (3 cm) = 2 2/3

Therefore, the scale factor Leo used to create the photograph from the original is 2 2/3.