SOLUTION: a garden border is to be constructed from old railroad ties. The garden will be rectangular, but up against the side of a house, so only 3 side need this border. Suppose you have 4

Question 777841: a garden border is to be constructed from old railroad ties. The garden will be rectangular, but up against the side of a house, so only 3 side need this border. Suppose you have 48 feed of these railroad ties. Determine the maximum area of the garden
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
The two equal sized top and
bottom border will equal 'x' apiece.
The long side border will = 48 - 2x
This is because we have taken the top and bottom
borders out of the total.
Area of a rectangle = length * width
Area = (48 - 2x)* x
Area(x) = 48x - 2x^2
Differentiate
Area'(x) = 48 - 4x
Area'(x) = 0
48 - 4x = 0
-4x = -48
4x = 48
x = 12,
Width = 12 feet
Length = 24 feet
Area = 288 feet^2
Hope this helps.
:-)

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