Question

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.

Answer 1

Answer:

The perimeter of the other polygon is $34\ m$

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

$z=\frac{x}{y}$

we have

$z=\frac{2}{5}$

$y=85\ m$

substitute and solve for x

$\frac{2}{5}=\frac{x}{85}$  

$y=85*(2/5)=34\ m$