SOLUTION: A rectangular parking lot has length that is 7 yards less than twice its width. If the area of the land is 130 square yards, what is the dimensions of the land?

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Question 909431: A rectangular parking lot has length that is 7 yards less than twice its width. If the area of the land is 130 square yards, what is the dimensions of the land?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A rectangular parking lot has length that is 7 yards less than twice its width. If the area of the land is 130 square yards, what is the dimensions of the land?
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length = 2*width - 7
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Area = length * width
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Equation:
130 = (2w-7)*w
----
2w^2 - 7w - 130 = 0
Factor::
(w-10)(2w+13)
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Positive solution:
width = 10 yds
length = 2w-7 = 13 yds
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Cheers,
Stan H.
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Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

A rectangular parking lot has length that is less than its width .
....eq.1
If the area of the land is , then we know that
... plug in


...write as
...group



solutions:
if =>
if => => we don't need this solution since the width cannot be negative
so,
now find the length



so, the dimensions of the land are: by

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