help plz plz plz

Pentagon ABCDE is similar to pentagon RSTUV . The perimeter of pentagon ABCDE is 36.8 centimeters.


What is the length of ST ?

19.8 cm
18 cm
25.8 cm
15 cm

help plz plz plz Pentagon ABCDE is similar to pentagon RSTUV The perimeter of pentagon ABCDE is 368 centimeters What is the length of ST 198 cm 18 cm 258 cm 15 class=

Respuesta :

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15