SOLUTION: What are the dimensions (l,w) of a rectangular coral producing the greatest enclosed area given 200 feet of fencing?

Algebra ->  Rational-functions -> SOLUTION: What are the dimensions (l,w) of a rectangular coral producing the greatest enclosed area given 200 feet of fencing?      Log On


   



Question 1135702: What are the dimensions (l,w) of a rectangular coral producing the greatest enclosed area given 200 feet of fencing?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
An enclosed rectangular coral of the perimeter of 200 feet having the maximum area is the square with the side length of 200%2F4 = 50 ft.

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 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.