7. Farmer Ed has 700 meters of fencing, and wants to enclose a rectangular plot

Question

7. Farmer Ed has 700 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be endlosed? the largest area that can be enclosed? 2. 700 -2x meters The width, labeled x in the figure, is (Type an integer or decimal.) meters. The length, labeled 700-2x in the figure, is (Type an integer or decimal.) square meters The largest area that can be enclosed is Time an integer or decimal.)

Explanation / Answer

x=-b/2a
x=-700/2(-2)
x=700/4
x=175

hence width=175meters
length=700-2(175)=700-350=350meters
area =l*w
area=350*175
=61250 square meters

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