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.

To find the scale factor that Leo used to create the photograph from the original, we need to compare the measurements of a side in the original object with the measurements in the printed photo.

Given that each side of the original pentagon measures 3 cm and the corresponding side in the printed photo measures 8 cm, we can calculate the scale factor by dividing the printed measurement by the original measurement.

Scale factor = Printed measurement / Original measurement
Scale factor = 8 cm / 3 cm
Scale factor ≈ 2.67

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