Answer :
Final answer:
To find the perimeter of the larger of two similar pentagons, multiply the perimeter of the smaller pentagon by the scale factor, which is the ratio of the corresponding sides.
Explanation:
In mathematics, similar figures have corresponding sides that are proportional. This question pertains to two similar pentagons, meaning their sides are relative in size. When we talk about the perimeter of a shape, it's simply the sum of the lengths of all its sides. To find the perimeter of the larger pentagon, you would multiply the perimeter of the smaller one by the scale factor (i.e., the ratio of the corresponding sides).
For example, if the smaller pentagon has a perimeter of 100 (measured in some units) and the corresponding sides of the larger pentagon are twice as long as the smaller one, the perimeter of the larger pentagon would be 100 * 2 = 200 in the same units.
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