To find the scale factor, we can use the formula:
Scale factor = new side length / original side length
Given that the original side length is 20 yards and the new side length is 15 yards, we can substitute these values into the formula:
Scale factor = 15 yards / 20 yards
Simplifying, we get:
Scale factor = 3/4
Therefore, the scale factor you should use is 3/4.
If you want to dilate a figure that has a side length of 20 yards, to create a dilated image with a corresponding side length of 15 yards, what scale factor should you use? Showwwwwww WORK"
3 answers
SHOW MATHHHH
Sure! Here's the math to show how I arrived at the scale factor of 3/4:
Scale factor = new side length / original side length
Let's represent the original side length as 'x' yards and the new side length as 'y' yards:
x = 20
y = 15
Substituting these values into the formula:
Scale factor = y / x
Scale factor = 15 / 20
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
Scale factor = (15 ÷ 5) / (20 ÷ 5)
Scale factor = 3/4
Therefore, the scale factor you should use is 3/4.
Scale factor = new side length / original side length
Let's represent the original side length as 'x' yards and the new side length as 'y' yards:
x = 20
y = 15
Substituting these values into the formula:
Scale factor = y / x
Scale factor = 15 / 20
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
Scale factor = (15 ÷ 5) / (20 ÷ 5)
Scale factor = 3/4
Therefore, the scale factor you should use is 3/4.