Final answer:
To find the scale factor for a scaled copy of a polygon with a given perimeter, divide the target perimeter by the original perimeter. Option (C) is correct.
Step-by-step explanation:
To draw a scaled copy of the polygon with a perimeter of 30 units, we need to determine the scale factor by comparing the original perimeter to the new perimeter. Let's say the original perimeter is P units. The scale factor, which we'll call S, is given by the equation: P x S = 30. We can rewrite this equation as: S = 30 / P. Therefore, to find the scale factor, divide 30 by the original perimeter.
For example, if the original polygon has a perimeter of 10 units, the scale factor would be: S = 30 / 10 = 3. This means that every unit on the scaled copy of the polygon would represent 3 units on the original polygon.
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.