The rectangular bird sanctuary with one side along a straight river is to be constructed so that it contains 8 km^2 of area. Find the dimensions of the rectangle to minimize the amount of fence necessary to enclose the remaining three sides.

Question

owlcoffee · Answer

This is an optimization problem.
What I would suggest you do is firstly, interpret the given information into the form of a function.
Then you find the derivative and apply the theorem $(f) rel.ext. \iff f´(x)=0$ which means that you'll find relative extreme points by making the derivative of the function 0.
Out of the possible relative extrema you'll find on your function, you should aim for a minimum.

I have to go now, but I will check back (if someone hasn't already) to give you a more detailed explaination.

anonymous · Answer

thanks!

anonymous · Answer

just hvaing trouble coming up with the equation though