Answer :

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