Mathematics: Iknow what the domain is, but can someone me find the correct range? ?

Iknow what the domain is, but can someone me find

Truezoe09

18.01.2023

We know that the figures in each pair are similar and that x,y>0, so:

The rectangle:
$\frac{16}{8}=\frac{x}{2}$
$2=\frac{x}{2}\quad |\cdot 2$
4=x

The triangle I:
$\frac{y}{12}=\frac{8}{4}$
$\frac{y}{12}=2\quad |\cdot 12$
y=24

$\frac{12}{4}=\frac{18}{x}$
$3=\frac{18}{x}\quad |\cdot x$
$3x=18\quad |:3$
x=6

The triangle II:
$\frac{8}{6}=\frac{y}{4}$
$32=6y\quad |:6$
$y=5\frac{1}{3}$

$\frac{6}{4}=\frac{7}{x}$
$\frac{3}{2}=\frac{7}{x}$
3x=14

$x=4\frac{2}{3}$

:)

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