Two polygons are similar. the perimeter of the larger polygon is 85 meters and the ratio of the corresponding side lengths is $\frac{2}{5}$
. find the perimeter of the other polygon.
the perimeter of the other polygon is
meters.

The perimeter of the other polygon is

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

we have

substitute and solve for x