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 213 2 Start Fraction 1 over 3 End Fraction 38 Start Fraction 3 over 8 End Fraction 223 2 Start Fraction 2 over 3 End Fraction 11

Answer 1

the answers are
2 1/3
3/8
2 2/3
11

Answer 2

To find the scale factor used to enlarge the original pentagon to the photograph, we can use the formula for the scale factor, which is:

\[
\text{Scale Factor} = \frac{\text{New Size}}{\text{Original Size}}
\]

In this case, the original side length of the pentagon is 3 centimeters, and the new (enlarged) side length is 8 centimeters. Therefore, the scale factor is:

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

This means that the scale factor used by Leo to create the photograph is \(\frac{8}{3}\).

Looking at the provided options, the correct response is **\(\frac{8}{3}\)**.

Answer 3

Thank you for providing the answer options. The correct scale factor \( \frac{8}{3} \) can be converted to a mixed number to match the answer options.

To convert \( \frac{8}{3} \) to a mixed number:

1. Divide 8 by 3, which goes 2 times with a remainder of 2.
2. So, \( \frac{8}{3} = 2 \frac{2}{3} \).

Therefore, the correct scale factor is **\( 2 \frac{2}{3} \)**.