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

11
11

213
2 Start Fraction 1 over 3 End Fraction

38
Start Fraction 3 over 8 End Fraction

223

Answer 1

To find the scale factor Leo used to enlarge the jewelry from the original size to 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.

Calculating the scale factor:

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

So the scale factor that Leo used is:

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

Therefore, the correct response is:

213 (since the fraction \(\frac{8}{3}\) corresponds to 2 and 1/3).