SOLUTION: what are the dimension of the largest rectangular field that can be enclosed with 60 meter of wire

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Question 1104503: what are the dimension of the largest rectangular field that can be enclosed with 60 meter of wire
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

Let the dimensions be L, W, and the area A.


Take the derivative of A with respect to W:

Set it to zero:
—> —>
To show that's a max, note
which indicates the curve is concave down (hence max at W=L=15)

Ans: The dimensions of the largest rectangle is 15m x 15m
( Notice how it is a square that maximizes the area )


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