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
2 Start Fraction 1 over 3 End Fraction

2 2/3
2 Start Fraction 2 over 3 End Fraction

11
11

3/8

Answer 1

To find the scale factor Leo used to enlarge the pentagon, we can compare the lengths of the sides of the enlarged pentagon to the original pentagon.

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

The scale factor (k) is calculated by dividing the length of the side of the enlarged pentagon by the length of the side of the original pentagon:

\[ k = \frac{\text{Length of enlarged side}}{\text{Length of original side}} = \frac{8 \text{ cm}}{3 \text{ cm}} = \frac{8}{3} = 2 \frac{2}{3} \]

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

2 Start Fraction 2 over 3 End Fraction (or 2.67).