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Tcecarenko [31]
3 years ago
15

PLEASE HELP ME!!!!

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0
8 * 2 * 10 = 160 * 10 = 1600
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A rectangular area is to be fenced in with 300 feet of chicken wire. find the maximum area that can be enclosed.
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Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.

2(x+y) = 300
x+y = 150
y = 150-x

A=x(150-x) <--(substitution)

The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150

So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.

A=75(150-75)
A=75*75
A=5625

So the maximum area that can be enclosed is 5625 square feet.
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<span>Answers:
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