Answer:
5 : 7
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 = : = 5 : 7
5:7
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.
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= 5 : 7