SOLUTION: If the perimeter of a rectangular swimming pool is 118 feet, find the length and width when the length is 1/3 of the width plus 7. (Use P=2L+2W) I can not seem to figure out the

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If the perimeter of a rectangular swimming pool is 118 feet, find the length and width when the length is 1/3 of the width plus 7. (Use P=2L+2W) I can not seem to figure out the       Log On

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Question 42288: If the perimeter of a rectangular swimming pool is 118 feet, find the length and width when the length is 1/3 of the width plus 7. (Use P=2L+2W) I can not seem to figure out the correct equation.
Answer by PaulAllen65270(19) About Me  (Show Source):
You can put this solution on YOUR website!
Width is x; length would be %281%2F3%29x%2B7 so the equation is
118=2%28%281%2F3%29x%2B7%29%2B2x You can then divide everything by 2
59=%281%2F3%29x%2B7%2Bx Then you can multiply everything by 3 to get rid of the fraction
177=1x%2B21%2B3x Now combine the x terms
177=4x%2B21 Isolate the x on one side of the equals by subtracting 21 from both sides
156=4x Divide both sides by 4
x=39 This is the width to find the length you would need to substitute this in the length formula.
%281%2F3%29%2839%29%2B7 Length equals 20 make sure you label everything.