Question

If the ratio of the lengths of corresponding sides of two similar hexagons is 2:7, what is the ratio of their areas?

4:49
4:14
2:7
49:4

Answer 1

The ratio of the areas of two similar hexagons is equal to the square of the ratio of their corresponding side lengths. In this case, the ratio of the areas is 4:49.

Step-by-step explanation:

The ratio of the areas of two similar hexagons is equal to the square of the ratio of their corresponding side lengths. In this case, the ratio of the side lengths is 2:7. Therefore, the ratio of the areas is (2/7)^2 = 4/49. So, the correct answer is 4:49.