Question

Two polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of thecorresponding side lengths is 1/6. Find the perimeter of the other polygon.The perimeter of the other polygon isyards.

Answer 1

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:

`P_s=(1)/(6)P_l=(1)/(6)\cdot120=20`

The perimeter is scaled in the same proportion as the sides.

Answer: The perimeter of the other polygon is 20 yards.