SOLUTION: Hello, I would like a good explanation on how to solve this word problem, I am not very good with them, so please explain as best as possible step by step. The length of a recta

Algebra ->  Rectangles -> SOLUTION: Hello, I would like a good explanation on how to solve this word problem, I am not very good with them, so please explain as best as possible step by step. The length of a recta      Log On


   



Question 209149: Hello, I would like a good explanation on how to solve this word problem, I am not very good with them, so please explain as best as possible step by step.
The length of a rectangle is 5cm less than twice its width. The perimiter of the rectangle is 26 cm. What are the dimensions of the rectangle?

Found 2 solutions by stanbon, rfer:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 5cm less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
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Let the width be "W".
Then length = L = 2W-5
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Equation:
Perimeter = 2(W + L)
26 = 2(W + 2W-5)
13 = W +2W - 5
13 = 3W - 5
3W = 18
W = 6 cm (width)
L = 2W-5 = 7 cm (length)
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Cheers,
Stan H.
Reply to stanbon@comcast.net or algebra.com

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
w=x=6
l=2x-5=7
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P=2w+2l
2x+2(2x-5)=26
2x+4x-10=26
6x=36
x=6