SOLUTION: Find the maxumum area of a rectangle whose perimeter is 32
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Question 1184730: Find the maxumum area of a rectangle whose perimeter is 32
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39799) (Show Source): You can put this solution on YOUR website!
common enough exercise which can be found and solved in many sources.
This one, maximum area is square units.
Answer by ikleyn(53763) (Show Source): You can put this solution on YOUR website!
.
When the perimeter of a rectangle is given, the maximum area has a square
with the side length one fourth of the given perimeter.
This fact is very well known.
You can read about it (with the proof) from the lesson
- A rectangle with a given perimeter which has the maximal area is a square
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.
In your case, the maximum area is = = 64 square units.
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