$\"\"$

\

Find the length and width of the rectangle that has minimum perimeter.

\

The area of the rectangle is $\"\"$ .

\

Area of rectangle is $\"\"$ .

\

$\"\"$

\

The perimeter of the rectangle is $\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ Differentiate on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Power rule of derivative : $\"\"$ .

\

$\"\"$

\

Equate derivative function to zero.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Thus, the length and width of the rectangle are $\"\"$ and $\"\"$ .

\

$\"\"$

\

Length and width of the rectangle are $\"\"$ and $\"\"$ .