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let the dimension of garden be x for the back/front and y for the side, then we have
xy = 800
y = 800/x
and the cost is
C= 5*x +2y*3 = 5x+6y = 5x+4800/x
let dc/dx =0
x^2 = 960
x= 31.0 ft
y = 800/31.0 = 25.8 ft
c = 5x+6y = 5*31+6*25.8 = 309.8
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