SOLUTION: 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?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 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?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1061172: 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?
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~

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 15%5E2 = 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".