SOLUTION: a man with 200 ft. of fencing material wishes to fence off an area in the shape of a rectangle.what should be the dimensions of the area if the enclosed space is to be as large as

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Question 1168775: a man with 200 ft. of fencing material wishes to fence off an area in the shape of a rectangle.what should be the dimensions of the area if the enclosed space is to be as large as possible?what is the largest area?
hint:A=lw,P=2l+2w


Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

At given/fixed perimeter, a rectangle with the maximum area is the square with the side length
equal to   1%2F4   of the perimeter.

So the answer to the problem's question is the square with the side length of  50  ft.

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
in this site.

Find there a full solution with detailed explanation.


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.