SOLUTION: What is the greatest possible area of a rectangle if its perimeter is 30 centimeters?

Algebra ->  Rectangles -> SOLUTION: What is the greatest possible area of a rectangle if its perimeter is 30 centimeters?      Log On


   

Question 215709: What is the greatest possible area of a rectangle if its perimeter is 30 centimeters?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
What is the greatest possible area of a rectangle if its perimeter is 30 centimeters?

Step 1. The greatest possible area A occurs with the rectangle is a square or the sides of the rectangle are equal or A=s^2 where s is the length of the side of a square.

Step 2. Perimeter P is when you add up all the lengths of the sides of a rectangle or square in our case or P=s+s+s+s=4s
P=4s=30

s=30%2F4=7.5

Step 3. Area is 7.5%5E2=56.25

Step 4. ANSWER: The maximum area is 56.25 square centimeters.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J