Answer:
5:7
Step-by-step explanation:
Ratio of the areas of similar shapes is equal to the square of the scale:
A₂ / A₁ = r²
Ratio of the side lengths of similar shapes is equal to the scale:
s₂ / s₁ = r
Therefore:
A₂ / A₁ = (s₂ / s₁)²
25/49 = (s₂ / s₁)²
s₂ / s₁ = 5/7
The ratio of the side lengths is 5:7.
Answer:
5 : 7
Step-by-step explanation:
Given 2 similar figures then
ratio of sides = a : b
ratio of areas = a² : b²
Here the ratio of areas = 25 : 49, hence
ratio of sides = [tex]\sqrt{25}[/tex] : [tex]\sqrt{49}[/tex] = 5 : 7
