The corresponding widths of the smaller and larger figures are given as 2cm and 3cm respectively,
Hence, the ratio of their widths/sides is determined as:
[tex]\begin{gathered} \frac{\text{ width of smaller figure}}{\text{width of larger figure}}=\frac{2}{3}, \\ \text{Therefore, scale factor =}\frac{2}{3} \end{gathered}[/tex]
The ratio of their areas of the smaller to the larger figure is the square of the scale factor
[tex]\text{ Area factor =(}\frac{2}{3})^2=\frac{4}{9}[/tex]
Therefore, the ratio of the areas of the smaller figure to the larger figure is
[tex]\frac{4}{9}[/tex]
