Answer:
The perimeter of the new pentagon is [tex]35\ in[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z------> the scale factor
x-----> the perimeter of the dilated pentagon
y-----> the perimeter of the original pentagon
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]z=\frac{5}{3}[/tex]
[tex]y=21\ in[/tex]
substitute and solve for x
[tex]\frac{5}{3}=\frac{x}{21}[/tex]
[tex]x=21*5/3=35\ in[/tex]
