$\"\"$

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$\"\"$ and $\"\"$ are length and width of the pasture.

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The rectangular pasture area is $\"\"$ square meters.

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$\"\"$

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$\"\"$ .

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$\"\"$ , where $\"\"$ is the length of the fence.

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Find the function $\"\"$ in terms of $\"\"$ .

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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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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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$\"\"$ .

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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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$\"\"$ .

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$\"\"$ is minimum when $\"\"$ and $\"\"$ .

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$\"\"$

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The dimesions are $\"\"$ .