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The perimeters of 2 similar polygons are 12 and 16.

1. What is the ratio of the lengths of 2 corresponding sides?

2. What is the ratio of the areas?

3. If the area of the smaller polygon is 54 what is the area of the larger polygon?

1 answer

ratio of ANY lengths in similar figures is the same 12/16 = 3/4

2. Ratios of ANY areas is length ratio squared 9/16

3. 54 * 16/9 = 96

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