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.
