Leo designs a piece of jewelry in the shape of the 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?

The scale factor is found by dividing the length of one side of the enlarged object by the length of one side of the original object. The original object has sides that measure 3 centimeters, and the enlarged object has sides that measure 8 centimeters. So the scale factor is 8 centimeters / 3 centimeters = <<8/3=2.66667>>2.67. Answer: \boxed{2.67}.

To find the scale factor, we need to compare the corresponding sides of the original pentagon and the printed photo.

In the original pentagon, each side measures 3 centimeters. After enlarging, each side of the printed photo measures 8 centimeters.

To calculate the scale factor, we divide the length of the corresponding side in the printed photo by the length of the corresponding side in the original pentagon.

Scale factor = Length of printed photo side / Length of original pentagon side

Scale factor = 8 centimeters / 3 centimeters

Scale factor = 2.67 (rounded to two decimal places)

Therefore, Leo used a scale factor of approximately 2.67 to create the photograph from the original pentagon.

To find the scale factor, it is necessary to compare the difference in length between the original object and the photograph.

The original object has sides measuring 3 centimeters each. When it is enlarged, the sides measure 8 centimeters each.

To find the scale factor, divide the length of the enlarged sides by the length of the original sides:

Scale factor = Enlarged side length / Original side length

Scale factor = 8 cm / 3 cm

Scale factor ≈ 2.67

Therefore, Leo used a scale factor of approximately 2.67 to create the photograph from the original.