Question 814528: The length of a rectangle is 7 more than the width and the area is 98 sqft. what is the length and width of the rectangle?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! L = w + 7
Lw = 98
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Lw = 98
(w + 7)w = 98
ww + 7w = 98
ww + 7w - 98 = 0
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the above quadratic equation is in standard form, with a=1, b=7, and c=-98
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to solve the quadratic equation, plug this:
1 7 -98
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
7
-14
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the negative root doesn't make sense as a length, so use the positive root:
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w = 7 feet
L = 14 feet
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