Answer :
Final answer:
When a shape is dilated by a scale factor, its perimeter increases by the same scale factor. Therefore, if a pentagon is dilated by a scale factor of 2.5, the perimeter of the new pentagon will be 2.5 times the perimeter of the original pentagon.
Explanation:
Your question is related to dilation of figures and perimeter calculations in geometry. When a shape is dilated by a scale factor, its length dimensions (including the perimeter) increase by the same scale factor.
In your case, a regular pentagon was dilated by a scale factor of 2.5. This means the new pentagon would be 2.5 times larger than the original. Hence, the perimeter of the new pentagon will also be 2.5 times the perimeter of the original pentagon. Therefore, the correct answer is d) 2.5 times the perimeter of the pentagon.
Please note that the shape being a pentagon or any other shape is irrelevant in this case, as the rule invariably applies to dilation of all regular shapes.
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