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

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

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=(x)/(y)`

we have

`z=(2)/(5)`

`y=85\ m`

substitute and solve for x

`(2)/(5)=(x)/(85)`

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