SOLUTION: The length of a rectangle is 2 ft more than twice the width. The area of the rectangle is 84ft2. Find the length and width of the rectangle.

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Question 188769This question is from textbook An Applied Approach
: The length of a rectangle is 2 ft more than twice the width. The area of the rectangle is 84ft2. Find the length and width of the rectangle. This question is from textbook An Applied Approach

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The length of a rectangle is 2 ft more than twice the width. The area of the rectangle is 84ft2. Find the length and width of the rectangle.
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Let the width be "x" ft.
Then the length is "2x+2" ft.
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Area = WL
84 = x(2x+2)
42 = x(x+1)
x^2 + x - 42 = 0
(x+7)(x-6) = 0
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x = 6 ft (width)
2x+2 = 12+2 = 14 ft (length)
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Cheers,
Stan H.