A farmer with 6000 feet of fencing wants to enclose a rectan

来源：学生作业帮编辑：灵鹊做题网作业帮分类：英语作业时间：2024/05/01 01:18:15

A farmer with 6000 feet of fencing wants to enclose a rectangular polot that borders a river.if the farmer does not fence the side along the river what are the dimensions of the plot that will enclose the largest area?

1:set the length perpendicular to the river as X,the length parallel to the river as Y,then we can get an equation:
2X+Y=6000 which can be transformed to Y=6000-2X
2 2
2:For S=XY,which is S=X(6000-2X)=-2X +6000X=-2(X-1500)+4500000
3:So when X=1500,the Smax=4500000

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