SOLUTION: The length of a rectangle is 1 in. more than twice it's width. If the perimeter of the retangle is 26 in., find the width of the rectange.

Question 49336: The length of a rectangle is 1 in. more than twice it's width. If the perimeter of the retangle is 26 in., find the width of the rectange.
Answer by mszlmb(115) (Show Source): You can put this solution on YOUR website!

P=2(L+W)
L=2W+1
P=26

replace L in the first equation with its equivalent from the second, 2W+1.
P=2(2W+1+W)    DISTRIBUTE
P=4W+2+2W      -2 BOTH SIDES, SIMPLIFY
P-2=6W         Replace P with its equivalent from the third equation, 26
26-2=6W        SIMPLIFY
24=6W          DIVIDE BY 6
4=W            Width=4.

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