The perimeter of the larger polygon is 120 yards.
The scale factor is 1/6.
The perimeter is proportional to the length of the sides, so if the smaller polygon has sides that are 1/6 of the corresponding sides in the larger polygon, then the perimeter is also 1/6 of the perimeter of the larger polygon:
[tex]P_s=\frac{1}{6}P_l=\frac{1}{6}\cdot120=20[/tex]The perimeter is scaled in the same proportion as the sides.
Answer: The perimeter of the other polygon is 20 yards.
