The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.

Accepted Solution

Answer:Ratio of perimeters = [tex]\frac{3}{4}[/tex]Ratio of areas = [tex]\frac{9}{16}[/tex]Step-by-step explanation:Thinking process:The ratio of the parameters is given by the following:[tex]ratio = \frac{length of side 1}{length of side 2}[/tex]         =[tex]\frac{6}{8} \\= \frac{3}{4}[/tex]The ratio of the areas is given by:[tex]ratio = (\frac{length of side 1}{length of side 2}) ^{2}[/tex]         = [tex](\frac{6}{8}) ^{2}[/tex]         = [tex]\frac{36}{64}[/tex]         = [tex]\frac{9}{16}[/tex]