Final answer:
The correct statement regarding the side lengths of similar figures with a scale factor of 5 is that the bigger figure's side lengths are 5 times longer.
So, the correct answer is A.
Step-by-step explanation:
When comparing side lengths in similar figures with a scale factor of 5, the correct statement is: The bigger figure's side lengths are 5 times longer. This means that if you have a smaller figure and you're creating a similar larger figure with a scale factor of 5, each side of the larger figure will be five times as long as the corresponding side on the smaller figure. Scale factors tell you how many times larger or smaller the dimensions are when comparing two similar geometric shapes.
Options b, c, and d do not accurately describe the relationship between the side lengths of similar figures given a scale factor of 5. Option b suggests each side is only 5 units longer, which is incorrect because the increase depends on the original length of the sides. Option c suggests the lengths are 25 times longer, and option d suggests 125 times longer, both of which are incorrect interpretations of the scale factor.
So, the correct answer is A.