$\"\"$

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

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Find the length and width of the rectangular that has the maximum area.

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Perimeter of the rectangle is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Rectangle area is $\"\"$ .

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

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$\"\"$

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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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Equate derivative function to zero ie $\"\"$ .

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$ .

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Length and width of the rectangle is $\"\"$ meters and $\"\"$ meters.

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$\"\"$

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Length of the rectangle is $\"\"$ meters.

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Width of the rectangle is $\"\"$ meters.