1. What is the ratio of the perimeters of the larger figure to the smaller figure?2. What is the ratio of the areas of the larger figure to the smaller figure?HELP

Answer:Part 1) The ratio of the perimeters of the larger figure to the smaller figure is equal to [tex]\frac{16}{13}[/tex]Part 2) The ratio of the areas of the larger figure to the smaller figure is [tex]\frac{256}{169}[/tex]Step-by-step explanation:Part 1) What is the ratio of the perimeters of the larger figure to the smaller figure?we know thatIf two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factorLetz-----> the scale factorIn this problemThe scale factor is equal to[tex]z=\frac{32}{26}[/tex]Simplify[tex]z=\frac{16}{13}[/tex]RememberIf two figures are similar, then the ratio of its perimeters is equal to the scale factorsoThe ratio of the perimeters of the larger figure to the smaller figure is equal to [tex]\frac{16}{13}[/tex]Part 2) What is the ratio of the areas of the larger figure to the smaller figure?we know thatIf two figures are similar, then the ratio of its areas is equal to the scale factor squaredLetz-----> the scale factorwe have[tex]z=\frac{16}{13}[/tex]so[tex]z^{2}=(\frac{16}{13})^{2}=\frac{256}{169}[/tex]thereforeThe ratio of the areas of the larger figure to the smaller figure is [tex]\frac{256}{169}[/tex]