SOLUTION: The area of a rectangular wall of a barn is 32 square feet. Its length is 12 feet longer than twice its width. Find the length and width of the wall of the barn.

Question 824829: The area of a rectangular wall of a barn is 32 square feet. Its length is 12 feet longer than twice its width. Find the length and width of the wall of the barn.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x = width
y = length
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a = xy
y = 2x + 12
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32 = xy
32 = x(2x + 12)
32 = 2xx + 12x
2xx + 12x - 32 = 0
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the above quadratic equation is in standard form, with a=2, b=12, and c=-32
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 12 -32
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two real roots (the x-intercepts), which are:
x = 2
x = -8
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the negative root does not fit the problem statement, so use the positive root
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answer:
x = width = 2 ft
y = length = 16 ft
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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