SOLUTION: The area of an equilateral triangle XYZ is 4 times the area of equilateral triangle ABC. If the perimeter of ABC is 12, what's the length of one side of XYZ? A)6 B)8 C)10 D)12

Algebra ->  Finance -> SOLUTION: The area of an equilateral triangle XYZ is 4 times the area of equilateral triangle ABC. If the perimeter of ABC is 12, what's the length of one side of XYZ? A)6 B)8 C)10 D)12      Log On


   



Question 1089514: The area of an equilateral triangle XYZ is 4 times the area of equilateral triangle ABC. If the perimeter of ABC is 12, what's the length of one side of XYZ?
A)6
B)8
C)10
D)12

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the ratio of areas is 4=2%5E2 , then the ratio of lengths is 2 .
The length of a side of ABC is 12%2F3=4 ,
so the length of a side of XYZ is 2%2A4=8 .