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 1/3
11
3/8
2 2/3

Answer 1

To find the scale factor used by Leo to enlarge the original pentagon from sides measuring 3 centimeters to sides measuring 8 centimeters, we can set up the following ratio:

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

Now, we perform the division:

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

To express this as a mixed number:

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

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

2 2/3