SOLUTION: A rectangle has a length that is five times longer than its width. If the perimeter of the rectangle is 12 inches, what is the width? I got the equation 5w+w=12 and with that

Question 954398: A rectangle has a length that is five times longer than its width. If the perimeter of the rectangle is 12 inches, what is the width?

I got the equation 5w+w=12 and with that i added 5w+w and got 6w=12... After that i divided 6w and got 2... That was the wrong answer... My teacher said it was one and didnt explain how to get that answer... I am just confused... If you could help me it would be extremely appreciated..
Found 3 solutions by Alan3354, macston, MathLover1:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A rectangle has a length that is five times longer than its width. If the perimeter of the rectangle is 12 inches, what is the width?
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I got the equation 5w+w=12 and with that i added 5w+w and got 6w=12... After that i divided 6w and got 2... That was the wrong answer... My teacher said it was one and didnt explain how to get that answer... I am just confused... If you could help me it would be extremely appreciated..
Perimeter = 2W + 2L = 12
W + L = 6, not 12 --> your calculations would be 1.
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But, 5 times longer is not 5 times as long, it's 6 times.
W + 6W = 6
W = 6/7 inches
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If 5 times longer = 5 times as long, what is 1 time longer? --> a 100% increase = 2 times as long.

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
W=width; L=length=5W: P=perimeter=2(L+W)=12 inches
P=2(L+W)
12 in=2(L+W)
6 in=L+W
6 in=5W+W
6 in=6W
1 in=W ANSWER: The width is 1 inch.
CHECK
L=5w=5 in
P=2(L+W)
12 in=2(5 in+1 in)
12 in=2(6 in)
12 in=12 in
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

given:
a rectangle with a length and a width
given that a rectangle has a length that is five times longer than its width
=>
given that the perimeter of the rectangle is , and you know that

so,
since given that ,substitute it in
...........solve for

so,the width is
then the length is

check perimeter:

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