$\"\"$

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The rectangular area is $\"\"$ square centimeters.

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

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Consider the length and breadth of the rectangle as $\"\"$ respectively.

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Rectangular area is $\"\"$ .

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$\"\"$

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

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

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$

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

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$\"\"$

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Find the critical numbers by equating derivative to zero.

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$ .

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Length and width of the rectangle is $\"\"$ centimeters, $\"\"$ centimeters.

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$\"\"$

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Length and width of the rectangle is $\"\"$ centimeters, $\"\"$ centimeters.