Math Problem Statement
what are the scaled untits
Create a scaled copy of the given rectangle using a scale factor of 4 and identify the dimensions of your scaled copy.
Solution
To determine the dimensions of the scaled rectangle, let’s follow these steps:
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Identify the dimensions of the original rectangle: From the grid, the original rectangle is 2 units wide and 1 unit tall (as measured by counting the grid squares).
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Apply the scale factor of 4:
- The width of the scaled rectangle becomes units.
- The height of the scaled rectangle becomes units.
Final Answer:
The scaled rectangle is 8 units wide and 4 units tall.
Would you like me to show how to draw this scaled rectangle or explain further?
5 Related Questions:
- What happens to the area of a rectangle when its dimensions are scaled by a factor of ?
- How can you scale shapes with non-integer scale factors?
- How does scaling affect the perimeter of a rectangle?
- Can scaling distort the proportions of a shape? Why or why not?
- How do you determine the scale factor when given original and scaled dimensions?
Tip:
Always multiply each dimension of the original shape by the scale factor to find the dimensions of the scaled shape!
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Math Problem Analysis
Mathematical Concepts
Scaling
Ratios
Geometry
Formulas
New Dimension = Original Dimension × Scale Factor
Theorems
Proportionality in Similar Shapes
Suitable Grade Level
Grades 5-7