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)

Responses

213
2
1
3
2 Start Fraction 1 over 3 End Fraction

223
2
2
3
2 Start Fraction 2 over 3 End Fraction

38
3
8
Start Fraction 3 over 8 End Fraction

11

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine the scale factor that Leo used to create the photograph from the original pentagon, we can use the formula:

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

In this case, the original side length of the pentagon is 3 centimeters, and the new side length after enlargement is 8 centimeters. Plugging these values into the formula gives:

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

Therefore, the scale factor used by Leo to enlarge the photograph is:

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

Looking at the provided responses, the correct answer is:

\(\frac{8}{3}\)