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Jul 17th, 2015
Fencing: 2x+y = 3480 hence we can write , y = 3480-2x
Area of land, A = xy or we can write A = x(3480-2x) ; A = 3480x-2x²
To find the maximum possible area, let us find its first derivative
A' = 3480-4x = 0
solving we get , 4x = 3480 ; or x = 870 yards y = 3480- 2x = 1740 yards
Maximum possible Area = 840×1740 = 1,461,600 squar yards