SOLUTION: A rectangular field along a river is to be fenced with 800 feet of fencing find the dimension of the field which produces a maximum area

Question 695553: A rectangular field along a river is to be fenced with 800 feet of fencing find the dimension of the field which produces a maximum area
Answer by henew(13) (Show Source): You can put this solution on YOUR website!
Lenghth=a
width=b
perimeter = 2(a+b)= 800
a+b=400
now Area= a x b, which can be infinite combinations from (1,399), (2,398),(3,397) etc.. upto (399,1).
multiply certain values and see the result.
product of the sides increases gradually and starts decreasing after halfway.
So the product is maximum when a and b are both 400.
Or
When the rectangle of given perimeter is a square, it will have maximum area
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