What is a Scale Factor? - Definition, Formula & Examples


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question 1 of 3

Two squares are similar. The scale factor from the first square to the second is 1:3. If the perimeter of the first square is 12 inches, what is the perimeter of the second square?

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1. Two rectangles are similar. The scale factor from the first rectangle to the second is 2: 3. If the perimeter of the first rectangle is 12 inches, what is the perimeter of the second rectangle?

2. Two similar figures have a scale factor of 1:3. The smaller figure has an area of 4 square units. What is the area of the larger figure?

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About This Quiz & Worksheet

Scale factors are key components in certain areas of algebra, and this quiz/worksheet will help you test your understanding of their application.

Quiz & Worksheet Goals

In these assessments you'll be tested on problems involving:

  • Finding perimeter
  • Finding area
  • Finding width
  • Finding measure

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Problem solving - use acquired knowledge to solve practice problems involving scale factors
  • Reading comprehension - ensure that you draw the most important information from the lesson on the mathematical implications of scale factors
  • Knowledge application - use your knowledge to find area, perimeter and width

Additional Learning

To learn more about the significance of scale factors, review the accompanying lesson, What is a Scale Factor? - Definition, Formula, & Examples. This lesson covers the following objectives:

  • Define scale factor
  • Describe the characteristics of scale factors
  • Understand the mathematical uses of scale factors
  • Familiarize yourself with several examples of the application of scale factors