Jack has 800 feet of fencing to fence off a rectangular field that borders a straight river. HE DOESN'T NEED TO FENCE ALONG THE RIVER. What are the dimensions( L and W ) of the field that has the largest area? What is the largest area?
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So, you are trying to fence an area next to a river. As you don't need to fence the rive, you can save one side of the rectangle and add more to the other tree sides
W | | W
We have 800 ft of fence to cover 2W + L so,
(1) 2W + L = 800
As a rectangle we can assume:
(2) L = 2W
As we saved the river side of fence the maximum area we can achieve is:
(3) A = (2W)(L)
Therefore you have 3 equations (1), (2) and (3) and three unknowns L, W, A. Can you solve?
omg awesome pic mathmind
I ended up getting all that, so does that mean that it comes out to roughly 266 feet for each? Great answer btw.
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we want to maxmize the area
to find critcal numbers set area'=0
so maximum area is 400(200)=80000
ops, i had a type on my (3) Area equation it's A = WL. And Myininaya got the solution!