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?(1 point)

Question

Responses

2 2/3

11

3/8

2 1/3

Answer 1

To find the scale factor used by Leo to enlarge the jewelry from its original size to the size in the photograph, we can use the formula for scale factor:

\[ \text{Scale Factor} = \frac{\text{New Size}}{\text{Original Size}} \]

In this case, the original size of each side of the pentagon is 3 centimeters, and the new size is 8 centimeters.

Plugging in the values:

\[ \text{Scale Factor} = \frac{8 \text{ cm}}{3 \text{ cm}} = \frac{8}{3} \]

Converting \(\frac{8}{3}\) to a mixed number gives us:

\[ \frac{8}{3} = 2 \frac{2}{3} \]

Thus, the scale factor that Leo used to create the photograph from the original is:

2 2/3