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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].
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