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The ratio of the areas of two similar polygons is 400:25. what is the ratio of their corresponding sides
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The ratio of the areas of two similar polygons is 400:25. what is the ratio of their corresponding sides

User Dave Abrahams
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2 Answers

5 votes

Answer: 16:1

simplify 400:25 by dividing 400 by 25, which is 16.

User Sampgun
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The ratio of areas is given by:
A1 / A2 = 400/25 = k ^ 2
Therefore, the relationship of the sides is given by:
L1 / L2 = k
Clearing k we have:
k = root (400/25)
Rewriting we have:
L1 / L2 = k = 20/5
Answer:
The ratio of their corresponding sides is:
20: 5
User MarvelTracker
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