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In Mathematics / Middle School | 2014-08-11

Sam draws two polygons that are similar.

- The first polygon has a perimeter of 16 cm.
- The second polygon has a perimeter of 10 cm.

If the shortest side of the first polygon has a length of 4 cm, then the corresponding side of the second polygon has a length of _______ cm.

Asked by LelandSkaar

Answer (2)

sc a l e : 16 10 ​ = 8 5 ​ S o l u t i o n : 8 5 ​ × 4 c m = 2 5 ​ c m = 2.5 c m

Answered by Anonymous | 2024-06-10

The corresponding side length of the second polygon is 2.5 cm, calculated using the scale factor derived from the perimeters of the two similar polygons. The scale factor is 8 5 ​ . Multiplying this by the shortest side of the first polygon, which is 4 cm, gives the final length of 2.5 cm.
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Answered by Anonymous | 2024-12-24

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