Question

Encontre as medidas desconhecidas:

Answer 1

Resposta:

$\dfrac{16}{x}=\dfrac{28}{y}=\dfrac{36}{z}\\ \\ x+y+z=100\\ \\ \\ \dfrac{16+28+36}{x+y+z}=\dfrac{80}{100}=\dfrac{4}{5}\to raz\~{a}o~~de~~proporcionalidade$

Logo:

$\dfrac{16}{x}=\dfrac{4}{5}\\ \\ 4x=80\\ \\ x=80\div4\\ \\\boxed{ x=20}$

$\dfrac{28}{y}=\dfrac{4}{5}\\ \\ 4y=140\\ \\ y=140\div4\\ \\ \boxed{y=35}$

$\dfrac{36}{z}=\dfrac{4}{5}\\ \\ 4z=180\\ \\ z=180\div4\\ \\\boxed{ z=45}$