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?
2 1/3
2 2/3
11
3/8
To find the scale factor, we divide the enlarged length by the original length. In this case, the original length is 3 centimeters and the enlarged length is 8 centimeters. So, the scale factor is 8 / 3 = 2 2/3. Therefore, Leo used a scale factor of 2 2/3 to create the photograph from the original.
To find the scale factor, we need to compare the original size of the object to the size in the photograph.
The original object has a side length of 3 centimeters.
The photograph shows the object with a side length of 8 centimeters.
To find the scale factor, we divide the length in the photograph by the original length:
8 centimeters / 3 centimeters
This simplifies to:
8/3 = 2 2/3
Therefore, Leo used a scale factor of 2 2/3 to create the photograph from the original.
To determine the scale factor used by Leo to create the photograph, we need to compare the side lengths of the original pentagon to those in the printed photo.
Given that the original pentagon has side lengths of 3 centimeters, and the printed photo has side lengths of 8 centimeters, we can calculate the scale factor by dividing the side length of the printed photo by the side length of the original.
Scale Factor = Printed Photo Side Length / Original Side Length
Scale Factor = 8 cm / 3 cm
Scale Factor ≈ 2 2/3
Therefore, Leo used a scale factor of approximately 2 2/3 to create the photograph from the original pentagon.