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Umnica [9.8K]
3 years ago
15

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.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

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

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