SOLUTION: The Perimeter of a parallelogram is 54. The ratio of the lengths of the sides is 2:7 What are the lengths of the sides? A)4 and 14 B)8 and 28 C)6 and 21 D) 24 and 30 E)12 an

Algebra ->  Parallelograms -> SOLUTION: The Perimeter of a parallelogram is 54. The ratio of the lengths of the sides is 2:7 What are the lengths of the sides? A)4 and 14 B)8 and 28 C)6 and 21 D) 24 and 30 E)12 an      Log On


   

Question 503591: The Perimeter of a parallelogram is 54. The ratio of the lengths of the sides is 2:7 What are the lengths of the sides?
A)4 and 14 B)8 and 28
C)6 and 21 D) 24 and 30
E)12 and 42
Found 2 solutions by xdragonfight, lwsshak3:
Answer by xdragonfight(116) About Me  (Show Source):
You can put this solution on YOUR website!
21+21=42
6+6=12
42+12=54
seems like its c

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The Perimeter of a parallelogram is 54. The ratio of the lengths of the sides is 2:7 What are the lengths of the sides?
**
let x=length of longer side
let y=length of shorter side
..
2x+2y=54
y/x=2/7
y=2x/7
2x+2(2x/7)=54
2x+4x/7=54
14x+4x=7*54=378
18x=378
x=378/18=21
y=2*21/7=42/7=6
ans:
length of longer side=21
length of shorter side=6