Question 937287
a = xy
y + 2x = 60
y = 60 - 2x
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a = x(60 - 2x)
a = 60x - 2xx
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-2xx + 60x = 0
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the above quadratic equation is in standard form, with a=-2, b=60 and c=0
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
-2 60 0
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the quadratic has two real roots at:
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x = 0
x = 30
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the quadratic has a vertex maximum at: ( 15, 450 )
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maximum area (a) occurs when x = 15:
y = 60 - 2*15
y = 30 m
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answer:
x = 15 m
y = 30 m
max area = 450 sq.m
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