SOLUTION: The Maximum Garden Problem. A farmer has 230 ft
of fence to enclose a rectangular garden. What is the
largest garden area that can be enclosed with the 230 ft
of fence? Explain
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-> SOLUTION: The Maximum Garden Problem. A farmer has 230 ft
of fence to enclose a rectangular garden. What is the
largest garden area that can be enclosed with the 230 ft
of fence? Explain
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Question 256030: The Maximum Garden Problem. A farmer has 230 ft
of fence to enclose a rectangular garden. What is the
largest garden area that can be enclosed with the 230 ft
of fence? Explain your work Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! We need two formulas:
(i)
(ii)
We are told that the perimeter is 230, so (i) becomes
(iii)
or
(iv)
step 1 - solve (iv) for L and we get
(v)
step 2 - substitute (v) into (ii) to get
(vi)
writing (vi) in vertex form, we get
(vii)
So, when W = 57.5, L = 57.5 and the max area is 3306.25 ft sq.
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