Leo designs a piece of jewelry in the shape of a regular pentagon. Each

Question

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? (1 point)

Answer 1

To find the scale factor Leo used to create the photograph from the original object, we need to compare the lengths of the sides before and after the enlargement.

The original side length of the pentagon is 3 centimeters, and the enlarged side length is 8 centimeters.

The scale factor can be calculated by dividing the length of the sides in the photograph by the length of the sides in the original object:

\[ \text{Scale Factor} = \frac{\text{Enlarged Side Length}}{\text{Original Side Length}} = \frac{8 , \text{cm}}{3 , \text{cm}} = \frac{8}{3} \]

Thus, the scale factor that Leo used to create the photograph from the original is \(\frac{8}{3}\) or approximately 2.67.