Question 821643: a gardener wishes to use 600 feet of fencing to enclose a rectangular region and subdivide the region into two smaller rectangles. the total enclosed area is 15,000 square feet. find the dimensions of the enclosed region
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
2x + 2y = 600
xy = 15000
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2x + 2y = 600
2y = 600 - 2x
y = 300 - x
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xy = 15000
x(300 - x) = 15000
300x - xx = 15000
-xx + 300x - 15000 = 0
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the above quadratic equation is in standard form, with a=-1, b=300, and c=-15000
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-1 300 -15000
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:
x = 63.3974596
x = 236.60254
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answer:
w= 63.3975 ft
L= 236.6025 ft
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