SOLUTION: Find the dimentions of a rectangle whose lenth is one foot longer than twice its width and whose perameter is 20 feet.

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Question 705761: Find the dimentions of a rectangle whose lenth is one foot longer than twice its width and whose perameter is 20 feet.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up:
Equation 1: L+=+2W+%2B+1
Equation 2: P+=+2L+%2B+2W (The perimeter of a rectangle
P = 20
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Since equation 1 is already solved for L, plug (2W + 1) into equation 2 for L
Equation 2: P+=+2L+%2B+2W
20+=+2%2A%282W+%2B+1%29+%2B+2W
Multiply the 2 through
20+=+4W+%2B+2+%2B+2W
Combine like terms
20+=+6W+%2B+2
Subtract 2 from both sides
18+=+6W
Divide both sides by 6
highlight%283+=+W%29
Now plug 3 into equation 1 for W
Equation 1: L+=+2W+%2B+1
L+=+2%2A%283%29+%2B+1
L+=+6+%2B+1
highlight_green%28L+=+7%29