Math Problem Statement
A square has a side length of 4 inches. It is dilated by a scale factor of 4 to create a new square.
The original perimeter is __________
Solution
The perimeter of a square is given by the formula:
For the original square with a side length of 4 inches:
Thus, the original perimeter is 16 inches.
Would you like details about how dilation affects the new square's perimeter?
Here are 5 related questions to expand on this concept:
- What is the perimeter of the new square after dilation?
- How does the area of the original square compare to the new square after dilation?
- What happens to the side length of the square after dilation by a factor of 4?
- If the original square’s side length was 6 inches, what would its perimeter be after dilation?
- How is the scale factor applied to both perimeter and area during dilation?
Tip: The perimeter of a square increases linearly with the side length, while the area increases quadratically.
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Math Problem Analysis
Mathematical Concepts
Geometry
Dilation
Perimeter
Formulas
Perimeter of a square: P = 4 × side length
Theorems
Dilation and its effect on geometric figures
Suitable Grade Level
Grade 7
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