The shortest sides of two similar polygons have lengths in the ratio 2:5. The perimeter of the smaller polygon is 20. The perimeter of the larger polygon is

Question

anonymous · Answer

50
100
125 ??????????????????????????????????????????

directrix · Answer

If two polygons are similar, then the ratio of corresponding sides is the scale factor.
The scale factor is the same ratio as that of any corresponding "linear" parts of the two polygons.

So, 2 is to 5 as 20 is to p where p is the perimeter of the larger polygon.

2/5 = 20/p
Cross multiply and solve for p.

directrix · Answer

Post what you get and I'll check it if you like.

directrix · Answer

@autumnpoteet

anonymous · Answer

would it be 50?

directrix · Answer

That is what I got, 50.

directrix · Answer

@autumnpoteet   Go look at that diameter question and let's wrap it up.