If you would like to dilate a square with a side length of 8 units to create a square with a side length of 20 units, what scale factor should you use?
To find the scale factor, we can use the formula:
Scale factor = new side length / old side length
In this case, the new side length is 20 units, and the old side length is 8 units.
Scale factor = 20 / 8
Simplifying this expression:
Scale factor = 2.5
Therefore, to dilate the square with a side length of 8 units to create a square with a side length of 20 units, you should use a scale factor of 2.5.
To find the scale factor, we need to divide the side length of the new square by the side length of the original square.
Scale factor = Side length of the new square ÷ Side length of the original square
In this case,
Scale factor = 20 units ÷ 8 units
To simplify, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 4 in this case.
Scale factor = (20 ÷ 4) units ÷ (8 ÷ 4) units
Scale factor = 5 units ÷ 2 units
Therefore, the scale factor is 2.5.