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The perimeter of the larger polygon will have the same ratio to the perimeter of the smaller as the ratio of the corresponding sides. Therefore, the larger polygon will have a perimeter of 30(15/12) = 37.5, or 38 to the justified number of significant digits stated.

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Q: One pair of corresponding sides of two similar polygons measures 12 and 15 The perimeter of the smaller polygon is 30 Find the perimeter of the larger?
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