Math Problem Statement
The side that corresponds to 4 units in the original rectangle is 1 unit in the scaled copy. What is the scale factor? Original Rectangle Scaled Copy 4 8 1 The scale factor is
Solution
To find the scale factor of the scaled copy, you divide the side length of the scaled copy by the corresponding side length of the original rectangle.
In this case, the side of the original rectangle is 4 units, and the corresponding side in the scaled copy is 1 unit.
The scale factor is calculated as:
Thus, the scale factor is or 0.25.
Would you like further details or explanations on this?
Here are 5 related questions to deepen understanding:
- What happens to the area of the rectangle when the scale factor is ?
- How would you find the scale factor if the original side was 8 units and the scaled side was 2 units?
- How does a scale factor greater than 1 affect the size of a scaled figure?
- Can you apply the same scale factor to all dimensions of a 3D shape? Why or why not?
- What is the relationship between the scale factor and perimeter of a rectangle?
Tip: A scale factor less than 1 shrinks the figure, while a scale factor
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Scale Factor
Ratios
Formulas
Scale Factor = (Side of Scaled Copy) / (Side of Original Rectangle)
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 6-8