Leo designs a piece of jewelry in the shape of a regular pentagon each side of the object measures 3 cm Leo photographs the object enlarges it so the size each measure 8 cm and prints the photo what scale factor did Leo used to create the photograph from the original a 2 and 2/3 b38 C2 and 1/3 d11

Answer 1

To find the scale factor that Leo used to enlarge the pentagon from its original size to the new size, we can use the formula for scale factor, which is the ratio of the size of the image to the size of the original object.

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

We can calculate the scale factor (SF) as follows:

\[ SF = \frac{\text{Enlarged Length}}{\text{Original Length}} = \frac{8 \text{ cm}}{3 \text{ cm}} = \frac{8}{3} \]

Now, converting \( \frac{8}{3} \) into a mixed number:

\[ \frac{8}{3} = 2 \frac{2}{3} \]

Based on the options provided:

• a) \( 2 \frac{2}{3} \)
• b) 38
• c) \( 2 \frac{1}{3} \)
• d) 11

The correct answer is:

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