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3x + y = 3480

therefore, y = 3480 - 3x

Area = (x)(y) = (x)(3480 - 3x) = 3480x - 3x^2

The derivative of the Area = 3480 - 6x

To find the maximum area, we set the derivative equal to zero:

3480 - 6x = 0

6x = 3480

x = 3480/6

x = 580 yds

The area is (580)(1740) = 1,009,200 yd^2

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