SOLUTION: the perimeter of rectangle 36cm. the length is twice the width.Find the length and width

Algebra ->  Rectangles -> SOLUTION: the perimeter of rectangle 36cm. the length is twice the width.Find the length and width      Log On


   

Question 962251: the perimeter of rectangle 36cm. the length is twice the width.Find the length and width
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
the perimeter of rectangle 36cm. the length is twice the width.Find the length and width
W=width; L=length=2W; P=perimeter=36cm
P=2(L+W) Substitute for L
36cm=2(2W+W)
36cm=2(3W)
36cm=6W Divide each side by 6.
6cm=W ANSWER 1: The width is 6 cm.
L=2W=2(6cm)=12cm ANSWER 2: The length is 12 cm.
CHECK:
P=2(L+W)
36cm=2(12cm+6cm)
36cm=2(18cm)
36cm=36cm