SOLUTION: the perimeter of a retangle is 16 meters and its length is 2 meters more than twice its width. what is its length?

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Question 129949: the perimeter of a retangle is 16 meters and its length is 2 meters more than twice its width. what is its length?
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let L=length, w=width

Since "its length is 2 meters more than twice its width", this means




Remember the formula for the perimeter of a rectangle is




Plug in and



Distribute


Combine like terms on the right side


Subtract 16 from both sides


Subtract 6w from both sides


Combine like terms on the right side


Divide both sides by -6 to isolate w



Divide

So the width is 2 m



Now plug in


Multiply


Add


So the length is 6 m

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let =perimeter
Let = width
Let = length









The length is 6 meters
check answer:







OK



OK
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