- #1
Vigo
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______y__________y______
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l--x---------l--x-----------l x
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A person has 400 ft. of fencing to maximize the area. What are the dimensions?
400=4y + 3x
A=2xy
57.143=y+x
y=57.143-x
A=2(57.143-x)(x)
A=114.286x-2x^2
A'=114.286-4x=0
114.286=4x
x=28.572
400=4y+3(28.572)
400=4y+85.715
315.286=4y
y=78.571
x=28.572 ft.
y=78.571 ft.
Does this look right?
l------------l--------------l
l------------l--------------l
l------------l--------------l
l--x---------l--x-----------l x
l------------l--------------l
l------------l--------------l
l___________l____________l
A person has 400 ft. of fencing to maximize the area. What are the dimensions?
400=4y + 3x
A=2xy
57.143=y+x
y=57.143-x
A=2(57.143-x)(x)
A=114.286x-2x^2
A'=114.286-4x=0
114.286=4x
x=28.572
400=4y+3(28.572)
400=4y+85.715
315.286=4y
y=78.571
x=28.572 ft.
y=78.571 ft.
Does this look right?