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 __________

The perimeter of a square is given by the formula:

\[
\text{Perimeter} = 4 \times \text{side length}
\]

For the original square with a side length of 4 inches:

\[
\text{Original Perimeter} = 4 \times 4 = 16 \, \text{inches}
\]

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:

1. What is the perimeter of the new square after dilation?
2. How does the area of the original square compare to the new square after dilation?
3. What happens to the side length of the square after dilation by a factor of 4?
4. If the original square’s side length was 6 inches, what would its perimeter be after dilation?
5. 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.

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 __________

Learn how to calculate the original perimeter of a square with a side length of 4 inches and understand the effects of dilation on geometric figures. This guide is ideal for Grade 7 students, covering key geometry concepts such as dilation, perimeter, and scale factor.

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