A rancher has 400 feet of fencing with which to enclose two adjactent rectangular corrals. What dimensions should be used so that enclosed area will be maximum?

Question

anonymous · Answer

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anonymous · Answer

I know that the Area of a rectangle is A=l*w

anonymous · Answer

I mean Area=2x*y

anonymous · Answer

if i had an area already i could solve for x or y and substitute back in the formula and solve for one then the other but I don't know how to start since i only have 400ft of fence to start with

anonymous · Answer

i know it can't be that hard but i am stuck on how to start out

anonymous · Answer

Area = y*2x, Fence Length: 4x + 3y = 400

anonymous · Answer

if the corals are adjacent, why put a fence between them?
we get perimeter = $4x+2y=400$

anonymous · Answer

I am not a farmer, however, one rational is to be able to separate live stock.

anonymous · Answer

in the diagram in the book the diagram shows them seperated too

anonymous · Answer

x = 50 and y = 200/3
You should verify these answers yourself.