SOLUTION: A gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. If he has 70 feet of fence, what is the largest rectangular area he can enc

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Question 1169260: A gardener is putting a wire fence along the edge of his garden to keep animals from eating his plants. If he has 70 feet of fence, what is the largest rectangular area he can enclose?
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

At given perimeter, a rectangle having maximum area is a square


with the side length of  1%2F4  of the perimeter,


which is  70%2F4 = 17.5 feet in your case.    ANSWER

See the lessons
    - A rectangle with a given perimeter which has the maximal area is a square
    - A farmer planning to fence a rectangular garden to enclose the maximal area

    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.