Question

like if a man has 500 ft of fencing what is the largest area that can be made if the fence is totally enclosed

Answer 1

I could just say a square with 125 ft. per side is the largest area he can get. but I bet you would want proof.

Answer 2

Here is the proof:

Let x=one side, so the opposite is also x
Amount of fence left is 500-2x so that will be divided between the other two opposite sides.
250-x = other side. A= (x)(250-x)=-x^2 + 250x
Now we differentiate and set to equal zero

-2x+250=0 (max/min)
-2x=-250
x=125

Answer 3

actually thts correct i just figure it out
its formulating the equations tht i have trouble with derivatives r no problem

Answer 4

thank u thats the easy one but what about when there are four enclosed areas of equal size?
i know the derivatives but finding the equation is urksome

Answer 5

When it gets like that, i need a diagram lol

Answer 6

oh ok