SOLUTION: how do you find the dimensions of a rectangle with the smallest perimeter and an area of 120000 inches?
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Question 310895: how do you find the dimensions of a rectangle with the smallest perimeter and an area of 120000 inches?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The area of a rectangle is,
The perimeter of a rectangle is,
Substituting,
Now P is a function of W only.
To minimize P, find the derivative wrt W and set it equal to zero.
From the area equation above,
The rectangle with the smallest perimeter and area of 120000 sq. in. is a square with sides of in.
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