SOLUTION: Can you help me with this problem. The lenght of a rectangular garden is 20 feet longer than the width. The perimeter must be between 80 and 100feet for the fencing that has been p

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Question 151539: Can you help me with this problem. The lenght of a rectangular garden is 20 feet longer than the width. The perimeter must be between 80 and 100feet for the fencing that has been purchased. What are the possible widths for the garden.
I started with p=2L=2W Perimeter
A=LW
I don't where to even start.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Since the "lenght of a rectangular garden is 20 feet longer than the width", this means that


Start with the perimeter equation.


Plug in


Distribute


Combine like terms.


Since the "perimeter must be between 80 and 100 feet", this means that


Start with the given compound inequality.


Plug in


Divide all sides by 4.


Reduce.


Subtract from all sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide all sides by 4.


Reduce.


So our answer is which means that the width must be between 10 and 15 feet.

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