What is he ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if XY is similar to AC, and BY=3, YC=2 ?

9/25

To find the ratio of the area of triangle XBY to the area of triangle ABC, we need to know the measurements of triangle ABC. However, the measurements of triangle ABC are not provided in the question. The given information about the lengths of BY (3 units) and YC (2 units) does not allow us to determine the dimensions of triangle ABC.

In order to find the ratio of the areas, we would need more information such as the lengths of the sides of triangle ABC or the lengths of the corresponding sides of triangle XY to triangle AC. Without this additional information, we cannot determine the ratio of the areas of triangle XBY to triangle ABC.