Question 172904This question is from textbook precalculus with limits
: A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. determine the demensions that will produce a maximum enclosed area
This question is from textbook precalculus with limits
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. determine the demensions that will produce a maximum enclosed area
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Call the divided fence the width, and the other the height.
To make 3 gardens, there will be 4 pieces of the height.
Area = w*h
1500 = 2w + 4h
750 = w + 2h
w = 750 - 2h
Sub for w
Area = (750 - 2h)*h
A = 750 h -2h^2
To find the max, set the 1st deriviate to zero.
750 - 4h = 0
h = 187.5 feet
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w = 750 - 375 = 375
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I don't know why he needs to separate plants with a fence, they're not gonna attack each other.
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