Question

Considere a seguinte semelhança:
A soma dos valores
obtidos de x e y são:
A) 24
B) 37
C) 13,5
D) 37,5
E) 40

Answer 1

$\boxed{\begin{array}{l}\sf c\acute alculo~da~raz\tilde ao~de~semelhanc_{\!\!,}a:\\\sf k=\dfrac{12\div3}{9\div3}=\dfrac{4}{3}\\\sf x=18\cdot\dfrac{4}{3}=24\\\sf 18=\dfrac{4}{3}y\\\sf 4y=54\\\sf y=\dfrac{54}{4}=\dfrac{27}{2}=13,5\\\sf x+y=24+13,5=37,5\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~C}}}}\end{array}}$