Question

Question
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

223
2 Start Fraction 2 over 3 End Fraction

38
Start Fraction 3 over 8 End Fraction

11
11

213

Answer 1

To find the scale factor that Leo used to create the photograph of the original pentagon, we need to divide the length of the sides of the enlarged pentagon by the length of the sides of the original pentagon.

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

The scale factor is calculated as follows:

\[
\text{Scale Factor} = \frac{\text{Length of enlarged side}}{\text{Length of original side}} = \frac{8 \text{ cm}}{3 \text{ cm}} = \frac{8}{3}
\]

The scale factor that Leo used is \( \frac{8}{3} \).

Thus, the correct response is **\( \frac{8}{3} \)**.