Answer:
x = 36
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , figure B to figure A
16 and x are corresponding sides , then
[tex]\frac{16}{x}[/tex] = [tex]\frac{4}{9}[/tex] ( cross multiply )
4x = 16 × 9 = 144 ( divide both sides by 4 )
x = 36