where cm and cm. If the area of , find the area of .
If two similar polygons can be divided into the same number of triangles,
corresponding triangles are similar. This means that since and are similar,
and are also similar. In and , side corresponds to side , side corresponds to side ,
and side corresponds to side . The ratio of to is , so the ratio of to is 4 as well.
Use the fact that the ratio of the areas of the surfaces of two similar polygons equals the square of the ratio of the lengths of any two corresponding sides
of the polygons to find the area of as follows:
Thus, the area of is .