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

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(52780)   (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      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.

RELATED QUESTIONS
Word Problem: A man with 120m of fencing material wishes to fence off an area in the... (answered by Edwin McCravy)

What are the dimensions of the rectangular plot with largest diagonal that can be fenced... (answered by Alan3354)

``What are the dimensions of the rectangular plot with largest diagonal that can be... (answered by ikleyn)

John wants to construct a fence around his farm. The farm is circular in shape with a... (answered by josgarithmetic)

This is a quadratic word problem. A farmer wishes to enclose a rectangular region... (answered by ankor@dixie-net.com)

A farmer has 336 running feet of fence and wishes to form a rectangular pasture. one side (answered by Fombitz)

A gardener has enough material to build 200 feet of fencing. He also has enough seed to... (answered by josmiceli)

What are the dimensions of the rectangular plot with largest diagonal that can be fenced... (answered by josgarithmetic)

a farmer needs to enclose a rectangular field with a fence down the middle to divide it... (answered by ikleyn,Edwin McCravy)