Answer:
26.6 m
Step-by-step explanation:
Given 2 similar figures with ratio of perimeter = a : b, then
ratio of areas = a² : b²
Here the ratio of areas = 16 : 25 , thus
ratio of perimeter = [tex]\sqrt{16}[/tex] : [tex]\sqrt{25}[/tex] = 4 : 5
let x be the required perimeter then using proportion
[tex]\frac{4}{21.3}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )
4x = 106.5 ( divide both sides by 4 )
x = 26.6 ( to the nearest tenth )
Perimeter of figure is 26.6 m
