<PRE><B>Question 214015</B>
What is the greatest possible area of a rectangle if its perimeter is 30 cm.


The greatest possible area is when the sides are equal or a square and the perimeter is adding up the lengths of all four sides in this case.


So let s be the side of the square.


Then Perimeter P=4s or s=P/4=30/4=7.5 cm.


The Area {{{A=s^2=7.5^2}}} or 56.25 square centimeters.


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit 

http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit 

http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J




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