If you dilate a square with a side of 6 units to create a square with a side, 18 units, what scale factor should you use?
To dilate a square with a side length of 6 units to create a square with a side length of 18 units, you need to find the scale factor.
The scale factor is the ratio of the corresponding side lengths of the two squares.
So, to find the scale factor, divide the side length of the larger square (18 units) by the side length of the smaller square (6 units):
Scale factor = 18 units / 6 units = 3
Therefore, the scale factor to dilate a square with a side length of 6 units to create a square with a side length of 18 units is 3.
To find the scale factor when dilating a shape, you can divide the length of a corresponding side of the dilated shape by the length of the original shape.
In this case, if you want to dilate a square with a side length of 6 units to create a square with a side length of 18 units, you can use the following formula:
Scale factor = Dilated side length / Original side length
Scale factor = 18 units / 6 units
Simplifying the calculation:
Scale factor = 3
So, the scale factor to dilate the square is 3.