A rectangular garden 200 square feet in area is to be fenced
off against rabbits. Find the dimensions that will require the
least amount of fencing if one side of the garden is already
protected by a barn.

Question

A rectangular garden 200 square feet in area is to be fenced
off against rabbits. Find the dimensions that will require the
least amount of fencing if one side of the garden is already
protected by a barn.

anonymous · Answer

Your question is unclear. Is soemthing missing?

anonymous · Answer

no that's the entire question in the book :/

mathstudent55 · Answer

|dw:1382289963346:dw|
A = xy
Do you have any information about how much fencing material there is?

anonymous · Answer

nope :/

mathstudent55 · Answer

Length of fence = 2x + y
Area = xy = 200 ----> y = 200/x

Fence: 2x + y = 2x + 200/x

F = 2x + 200/x
F' = 2 - 200/x^2
2 - 200/x^2 = 0
-200/x^2 = -2
x^2 = 400
$x = \sqrt{400} $
x = 20

A = xy = 200
20y = 200
y = 10

anonymous · Answer

thank you very much :)

mathstudent55 · Answer

wlcm