Respuesta :

Answer:

130.68 mm²

Step-by-step explanation:

given 2 similar figures with ratio of sides = a : b , then

ratio of areas = a² : b²

here ratio of sides = 5 : 11 , then

ratio of areas = 5² : 11² = 25 : 121

let x be the area of Δ YPR , then by proportion

[tex]\frac{25}{27}[/tex] = [tex]\frac{121}{x}[/tex] ( cross- multiply )

25x = 3267 ( divide both sides by 25 )

x = 130.68

area of Δ YPR ≈ 130.68 mm²