A rectangular plot of land will be bounded on one side by a river. On the other three sides, it will be bounded by a fence. With 500m of fence to use, what is the largest area you can enclose, and what are its dimensions? (I'm having trouble with this one)
Stacey Warren - Expert brainly.com
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I do know the more closely it becomes a square the larger the area you have. Let me think on this and get back to you shortly.
A = Length * width
A = lw
500 = 2w + l solving this for l you get
l = 500 - 2w substitute that back into the A=lw
A = (500 - 2w)w distribute
A = 500w - 2w^2
The maximum can be found at the vertex which you find the w value by -b/2a = -500/-2(2) = w = 125
so I think the width = 125 and the length would be 250