SOLUTION: The perimeter of a rectangle is 96cm. if the length is double the width, find the length & the width.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The perimeter of a rectangle is 96cm. if the length is double the width, find the length & the width.      Log On


   

Question 999049: The perimeter of a rectangle is 96cm. if the length is double the width, find the length & the width.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
P=perimeter; W=width; L=length=2W
.
P=2(L+W)
96cm=2(2W+W)
48cm=3W
16cm=W
ANSWER 1: The width is 16 cm.
.
L=2W=2(16cm)=32 cm
ANSWER 2: The length is 32 cm.
.
CHECK:
P=2(L+W)
96 cm = 2(32 cm + 16 cm)
96 cm = 2(48 cm)
96 cm = 96 cm