Question

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"

Answer 1

SHOW MATHHHH

Answer 2

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.

Answer 3

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.