SOLUTION: I have tried this and cannot get it. Can someone please help me? A farmer decides to enclose a rectangular garden using the side of the barn as one side of the rectangle. What is

Question 469026: I have tried this and cannot get it. Can someone please help me?
A farmer decides to enclose a rectangular garden using the side of the barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 ft of fence? What should the dimensions of the garden be to give this area?
Maximum are with 100 ft of fence is ?? sq ft
Dimensions is 50 ft by ?? ft
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
To maximize the area, the farmer needs to use all 100 feet of fencing.
Let F be the length of fencing to enclose rectangle, Let x be width.
F = 50 + 2x
Set equal to 100
50 + 2x = 100
2x = 50
x = 25
Therefore dimensions are 50X25 and area is (50*25) or 1250.
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