SOLUTION: a rectangle has area 100 ft^2. Find the dimensions of the rectangle that would minimize the length of the diagonal of the rectangle. There should be 2 dimensions
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Question 880956: a rectangle has area 100 ft^2. Find the dimensions of the rectangle that would minimize the length of the diagonal of the rectangle. There should be 2 dimensions
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The area of a rectangle is
The diagonal of a rectangle is,
From the area,
Substituting
Differentiating with respect to W,
Set the derivative equal to zero to get the minimum distance.
Then,
The shortest diagonal occurs when the rectangle is actually a square.
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