[tex]\text{Answer: }\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{5}{2}[/tex]
Step-by-step explanation:
Since we have given that
Area of two similar decagons are 625 ft² and 100 ft² ,
As we know the relation of area of similar figures, i.e.
[tex]\frac{\text{ Area of first decagon}}{\text{ area of second decagon}}=\frac{625}{100}=\frac{a^2}{b^2}[/tex]
Now, we also know that ,
[tex]\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{a}{b}=\frac{\sqrt{625}}{\sqrt{100}}=\frac{25}{10}=\frac{5}{2}[/tex]
Hence,
[tex]\frac{\text{ Perimeter of first decagon}}{\text{ Perimeter of second decagon}}=\frac{5}{2}[/tex]
