Respuesta :

Answer:

30 cm

Step-by-step explanation:

The ratio of the sides and ratio of perimeter of similar figures are equal.

Ratio of sides = 10 : 12 = 5 : 6 ( in simplest form )

let perimeter of larger figure be x, then by proportion

[tex]\frac{5}{25}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )

5x = 150 ( divide both sides by 5 )

x = 30

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