Math Problem Statement
What’s the scaled factor
What is the scale factor between two rectangles where the original rectangle has sides 2 and 3 units, and the scaled copy has a side of 4 units?
Solution
To determine the scale factor, you need to compare the corresponding sides of the original rectangle and the scaled copy.
From the image:
- The height of the original rectangle is 2 units, and the height of the scaled copy is 4 units.
The scale factor is calculated as:
So, the scale factor is 2.
Would you like more details or have any questions?
Here are 5 related questions to expand your understanding:
- What happens to the area of the rectangle when you apply the scale factor of 2?
- If another dimension of the original rectangle is 5 units, what would be its corresponding dimension in the scaled copy?
- How do you calculate the scale factor if only the area is given for both the original and scaled copies?
- Can the scale factor ever be less than 1? What does it represent?
- How do you find the scale factor if you are given the perimeter of both the original and scaled shapes?
Tip: The scale factor applies uniformly to all dimensions, meaning both width and height are multiplied by the same number when scaling.
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Math Problem Analysis
Mathematical Concepts
Geometry
Scaling
Ratios
Formulas
Scale factor = Dimension of scaled copy / Dimension of original
Theorems
Scaling theorem (uniform scaling of figures)
Suitable Grade Level
Grade 6