Answer:
p = 16
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FD}{HF}[/tex] = [tex]\frac{DE}{FG}[/tex] , substitute values
[tex]\frac{p}{12}[/tex] = [tex]\frac{32}{24}[/tex] ( cross- multiply )
24p = 384 ( divide both sides by 24 )
p = 16
