Question 975662
You have two square plots formed with 100m of fencing Determine the equation of the curve of best fit, and use the equation to determine the value of x that minimizes the area of each square.
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Perimeter of one of the squares:: x
side = x/4
Area = (x/4)^2 = x^2/16
A'(x) = (1/16)(2x) = (1/8)x
Solve:: (1/16)x = 0
x = 0
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Perimeter of other square:: 100-x
side = (100-x)/4
Area = [(100-x)/4]^2 = (100-x)^2/16
A'(x) = (1/16)(2(100-x)(-1) = (-1/8)(100-x)
Solve: 100-x = 0
x = 100
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Cheers,
Stan H.