180k views
2 votes
Two similar polygons have corresponding sides in a ratio of 2:3. What is the ratio of the areas of the polygons?

A. 2:3
B. 3:2
C. 9:4
D. 4:9

1 Answer

3 votes

Final answer:

The ratio of the areas of two similar polygons with corresponding sides in a ratio of 2:3 is the square of the scale factor, which is 4:9.

Step-by-step explanation:

The question asks for the ratio of the areas between two similar polygons with corresponding sides in a ratio of 2:3. When comparing the areas of similar figures, the ratio of the areas is the square of the scale factor. By squaring the given scale factor of the sides, which is 2:3, we obtain (22):(32)=4:9. Therefore, the ratio of the areas of the polygons is 4:9, which corresponds to option D.

User Geoffrey Wagner
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories