SOLUTION: The perimeter of a rectangle is 44 m. The length is 7m more than twice the width. Find the dimensions. What is the length__________ m. Simplify your answer

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Question 278421: The perimeter of a rectangle is 44 m. The length is 7m more than twice the width. Find the dimensions. What is the length__________ m. Simplify your answer
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up
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Equation 1: 44+=+2L+%2B+2W
Equation 2: L+=+2W+%2B+7
Solution:
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Plug (2W + 7) into equation 1 for L
Equation 1: 44+=+2L+%2B+2W
44+=+2%282W+%2B+7%29+%2B+2W Simplify
44+=+4W+%2B+14+%2B+2W Combine like terms
44+=+6W+%2B+14 Subtract 14 from both sides
30+=+6W Divide both sides by 6
highlight%285+=+W%29
Now plug 5 into equation 2 for W
Equation 2: L+=+2W+%2B+7
L+=+2%2A%285%29+%2B+7
highlight%28L+=+17%29