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:

  1. 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).

  2. Apply the scale factor of 4:

    • The width of the scaled rectangle becomes 2×4=82 \times 4 = 8 units.
    • The height of the scaled rectangle becomes 1×4=41 \times 4 = 4 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:

  1. What happens to the area of a rectangle when its dimensions are scaled by a factor of kk?
  2. How can you scale shapes with non-integer scale factors?
  3. How does scaling affect the perimeter of a rectangle?
  4. Can scaling distort the proportions of a shape? Why or why not?
  5. 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