SOLUTION: Mr. Sanchez's farm has an area of 1880 m^2. If the length of the farm is 7 meters more than its width, what is the perimeter of the farm?

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Question 822028: Mr. Sanchez's farm has an area of 1880 m^2.
If the length of the farm is 7 meters more than its width, what is the perimeter of the farm?

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
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Lw = 1880
L = w + 7
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Lw = 1880
(w + 7)w = 1880
ww + 7w - 1880 = 0
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the above quadratic equation is in standard form, with a=1, b=7, and c=-1880
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 7 -1880
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
w = 40
w = -47
negative width doesn't make sense for width, so use the positive root
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answer:
w = 40 m
L = 47 m
perimeter = 174 m
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Solve quadratic equations, quadratic formula:
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