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

11
11

213
2 Start Fraction 1 over 3 End Fraction

38
Start Fraction 3 over 8 End Fraction

223 ..

1 answer

To find the scale factor Leo used to enlarge the photograph, we will compare the lengths of each side of the original pentagon to the sides of the enlarged pentagon.

The original side length is 3 cm, and the enlarged side length is 8 cm. The scale factor can be calculated by dividing the side length of the enlarged pentagon by the side length of the original pentagon:

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

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

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

None of the provided responses seem to accurately match this value. Please check the available responses for any typographical errors or if additional options are provided.