SOLUTION: Dave and Jane wells have a new rectangular driveway. The perimeter of the driveway is 168 feet. the length is 12 feet longer than three times the width. what are the dimensions of

Question 205647This question is from textbook intermediate algegra
: Dave and Jane wells have a new rectangular driveway. The perimeter of the driveway is 168 feet. the length is 12 feet longer than three times the width. what are the dimensions of the driveway. I followed an example in the book and not sure if it is understandable or not will post it anyway.
168=2w+2(2w+3) = 168=2w+4w+6 = 168=6w+6 168-6 = 6w +6-6=162/6 6w/6 w=27
2w+3=2(27) +3 = 54+3 = 57w=27 L=57
If you have the book I followed example 3 page 81.This question is from textbook intermediate algegra

Answer by Targetweek(62) (Show Source):
You can put this solution on YOUR website!
Yes, You have the right idea but you messed up in the beginning
1. First the perimiter equation
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2. then set up an equation that states L in terms of W (in other words ex. L=2W) here is where you made your error
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3. Now you have a systmes of equations
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4. Substitute the 2nd equation into the 1st equation
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5. Then solve for W
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6. Now plug in the value for W into the 2nd equation
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7. So the dimensions of the driveway are W = 18ft and L = 66ft
8. And finally plug them back in to check you numbers
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