Answer:
x = 12
Step-by-step explanation:
18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.
Using this 3:4 scale factor we can find the missing side x.
Solving for x :
[tex]\frac{3}{4}[/tex] × 16 = 12
x = 12
OR: Set up a proportion:
[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]
cross-multiply
16 × 18 = 288
24 × x = 24x
288 = 24x
x = 12
