scale factor
A.9:36
The ratio of their surface areas is the square of the ratio of the lengths. Since the ratio of the lengths is 4-1, then the ratio of the surface areas is 4^2-1^2 or 16-1.
9:25
16:49
Polygons ( means many sides). They are called solids or polyhedrons; they exist in three dimensions and not two.
If the ratio of the lengths of corresponding parts in two similar solids is 51, then the ratio of their surface areas is the square of the ratio of their lengths. Therefore, the ratio of their surface areas is ( 51^2 = 2601 ).
64 729
A.9:36
7:10
16:1
64:729
Similar solids are three-dimensional figures that have the same shape but different sizes, maintaining proportional dimensions and angles. In contrast, similar polygons are two-dimensional shapes that share the same angle measures and the ratios of their corresponding side lengths are equal. While both concepts involve proportionality, similar solids encompass volume and surface area relationships, whereas similar polygons focus solely on two-dimensional properties. Thus, the key difference lies in the dimensionality and the aspects of measurement considered.
18:32
7:10
16:25
9 36
125:216