Question 815536: The width of a rectangular room is 3 feet less than the length. If the area of the room is 70 square feet, find the length and width of the room.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! w = L - 3
Lw = 70
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Lw = 70
L(L - 3) = 70
LL - 3L = 70
LL - 3L - 70 = 0
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the above quadratic equation is in standard form, with a=1, b=-3, and c=-70
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to solve the quadratic equation, plug this:
1 -3 -70
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
10
-7
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the negative root doesn't make sense for a length, so use the positive root:
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L = 10
w = 7
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