SOLUTION: Find the dimensions of a rectangle of area 225 square centimeters that has the least perimeter. What is the perimeter?

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Question 317038: Find the dimensions of a rectangle of area 225 square centimeters that has the least perimeter. What is the perimeter?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
For a rectangle, the area is,

and the perimeter is,

From the area equation,

Substitute into the P equation,

Now P is a function of only one variable.
Take the derivative and set it equal to zero to find extrema.





The rectangle with the minimum perimeter is a square with side 15 cm.

cm.
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