To find: The smallest possible perimeter of a rectangle whose area is
Answer to Problem 3E
The minimum perimeter is 16 in and that the dimension are
Explanation of Solution
Given information: The area of rectangle is
Formula used: Perimeter of the rectangle,
Area of the rectangle,
Where l is the length and w is the width.
Proof: We have,
Area of the rectangle,
Where area, A is
So,
Now the perimeter is
Upon taking the first derivative of the equation it will change to,
In order to get the extreme values, put
That is,
So,
Since length is a scalar quantity,
And,
Hence the minimum perimeter is 16in with
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
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