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you have 60 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize
the enclosed area. What is the maximum area?
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Answer.
A rectangle which gives the maximal area at given perimeter is a square.
The side of this rectangle is 15 yards in this case.
Its area is = 225 square yards.
For this theme see the lessons
- 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
- 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
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 online textbook under the topic "Finding minimum/maximum of quadratic functions".