The perimeter of the original figure is 68 feet and the perimeter of the scale drawing is 17 feet. What is the scale factor of the reduction? One-fourth 3 4 8.

Respuesta :

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor. The scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

What is a scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic. The copy will be bigger if the scaling factor is a full number. The duplicate will be smaller if the scaling factor is a fraction.

As it is given that the perimeter of the original figure is 68 feet while the perimeter of the scale drawing is 17 feet. therefore, the scale factor can be written as,

[tex]\rm Scale\ factor = \dfrac{\text{Perimeter of the Scale Drawing}}{\text{Perimeter of the Original Drawing}}[/tex]

[tex]\rm Scale\ factor = \dfrac{17}{68} = \dfrac{1}{4}[/tex]

Hence, the scale factor of the reduction is [tex]\dfrac{1}{4}[/tex].

Learn more about Scale Factor:

https://brainly.com/question/22644306

Answer:

It’s 1/4

Step-by-step explanation: