 Hello and welcome to the session. Let's work out the following problem. It says sides of two similar Triangles are in the ratio four is to nine areas of these triangles are in the ratio Option one is two is to three option two is four is to nine option three is 81 is to 16 option D 16 is to 81 so let's now move on to the solution to answer this question. We need to know that the Ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides so since the ratio of the areas of two similar triangles is equal to the square of ratio of their corresponding sides Therefore the area or the ratios of the areas is Equal to the square of ratio of their corresponding sides now the sides is having ratio four is to nine and the ratio of the Areas is equal to the square of ratio of their corresponding sides though so it is four square upon nine square that is 16 upon 81 so the ratio of the areas is Equal to 16 is to 81 and the correct option is option D This completes the question on this session. Hope you enjoyed it. Bye for now. Take care. Have a good day