SOLUTION: What is the minimum perimeter possible for a rectangle with an area or 500cm squared

Question 310541: What is the minimum perimeter possible for a rectangle with an area or 500cm squared
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Perimeter of a rectangle

Area of a rectangle

Substitute this expression into the perimeter equation,
P=2*(500/W+W)
Now perimeter is a function only of W.
To find the minimum, take the derivative wrt W and set it equal to zero.

Since , then

The shape that minimizes perimeter is a square of side .

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