$\"\"$

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Consider the width of the rectangle is $\"\"$ and the length of the rectangle is $\"\"$ .

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

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The system of equations are $\"\"$

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Find the dimensions of the rectangle.

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Consider the first equation is $\"\"$ .

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$ .

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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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$\"\"$

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$\"\"$ .

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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For $\"\"$ , $\"\"$ .

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For $\"\"$ , $\"\"$

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Therefore, the dimensions of the rectangle are $\"\"$ and $\"\"$ .

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$\"\"$

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The dimensions of the rectangle are $\"\"$ and $\"\"$ .