104k views
1 vote
15.
Find the perimeter of the smaller figure given that the two figures are similar.

15. Find the perimeter of the smaller figure given that the two figures are similar-example-1
User Sabah
by
3.8k points

1 Answer

5 votes
Let: s1 = one of the sides of the larger figure
: s2 = one of the sides of the smaller figure
: p1 = perimeter of the larger figure
: p2 = perimeter of the smaller figure
s1/s2 = p1/p2. The ratio of the corresponding sides is the same as the perimeter of the figures.
p1 = 30 + 30 + 35 + 5 + 10 = 110

s1 = 30 and s2 = 18
p1 = 110 and p2 is ?

s1/s2 = p1/p2
30/18 = 110/?
Crisscross ==== 30*? = 18*110

30*? = 1980
Divide both side by 30 ==== 30*?/30 = 1980/30
? = 66
User Lemony Lime
by
3.9k points