SOLUTION: The length of a rectangle is three feet longer than six times its width. If the area of the rectangle is 165 square feet, what is the width of the rectangle?

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Question 964995: The length of a rectangle is three feet longer than six times its width.
If the area of the rectangle is 165 square feet, what is the width of the
rectangle?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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W=width; L=length=6W+3ft; A=area=165ft^2
LW=A Substitute for L
%286W%2B3ft%29%28W%29=165ft%5E2
6W%5E2%2B3Wft=165ft%5E2 Subtract 165ft^2 from each side.
6W%5E2%2B3Wft-165ft%5E2=0 Divide by 3
2W%5E2%2BW-55=0
%282W%2B11%29%28W-5%29=0
2W%2B11=0 or W-5=0
2W=-11 or W=5
W=-5.5 or W=5
ANSWER: The width is 5 feet.
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CHECK:
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L=6W%2B3ft=6%285ft%29%2B3ft=39ft%2B3ft=33ft Length is 33 feet.
LW=A
%2833ft%29%285ft%29=165ft%5E2
165ft%5E2=165ft%5E2