SOLUTION: Find the maximum area of a rectangle that can be enclosed by a fence that is 364 meters long.

Algebra.Com
Question 1189496: Find the maximum area of a rectangle that can be enclosed by a fence that is 364 meters long.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

A rectangle with the given perimeter is a square with the side length of 1/4 of the perimeter.


In this case, a rectangle with the perimeter of 364 meters is a square with the side length of   = 91 meter.    ANSWER

Solved.

----------------

For more details, for the derivation of this rule and to see many other similar and different
solved problems, look into 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.

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

find the maximum rectangular area that can be enclosed by a fence that is 364 meter... (answered by josgarithmetic,ikleyn)
Find the Maximum rectangular area that can be enclosed by a fence that is 224 m. Show... (answered by ikleyn)
Please help me solve this problem: Fred has 48m of fence. The area that can be enclosed... (answered by lwsshak3)
A rectangular field is to be enclosed by a fence and divided into two parts by another... (answered by ankor@dixie-net.com)
I have 3 questions: 1, a rectangular field is to be enclosed by a fence and divided... (answered by richwmiller)
a rectangular aea is to enclosed by a fence then divided down the middle by another piece (answered by ankor@dixie-net.com)
A rectangular field is to be bounded by a fence on three sides and by a straight stream... (answered by ikleyn)
what is the largest rectangular area that can be enclosed with 16 meters of... (answered by nerdybill)
Find the dimensions of a rectangular region with a maximum area that can enclosed by a... (answered by ewatrrr)