Answer:
The perimeter of the other polygon is [tex]34\ m[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratios of its perimeter is equal to the scale factor
Let
z---> the scale factor
x----> the perimeter of the other polygon
y----> the perimeter of the larger polygon
so
[tex]z=\frac{x}{y}[/tex]
we have
[tex]z=\frac{2}{5}[/tex]
[tex]y=85\ m[/tex]
substitute and solve for x
[tex]\frac{2}{5}=\frac{x}{85}[/tex]
[tex]y=85*(2/5)=34\ m[/tex]
