Leo designs a piece of jewelry in the shape of a regular pentagon. Each

Question

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)

◦
A. 2 2/3

B. 3/8

C. 2 1/3

D. 11

Answer 1

To find the scale factor Leo used to enlarge the jewelry, you can use the formula for scale factor, which is the ratio of the new size to the original size.

1. The original side length is 3 cm.
2. The enlarged side length is 8 cm.

The scale factor (SF) can be calculated as follows:

\[ SF = \frac{\text{enlarged size}}{\text{original size}} = \frac{8 \text{ cm}}{3 \text{ cm}} \]

Calculating this gives:

\[ SF = \frac{8}{3} \approx 2.67 \]

The mixed fraction representation of \(\frac{8}{3}\) is \(2 \frac{2}{3}\).

Therefore, the correct answer is:

A. \(2 \frac{2}{3}\).