$\"\"$

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The side of a square is $\"\"$ .

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The possible error is $\"\"$ .

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(a) Approximate the percent error in computing the area of the square.

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THe area of the square is $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$ .

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$\"\"$

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Percentage error in area of the square is $\"\"$ .

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$\"\"$

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The percent error in computing the area of the square is $\"\"$ .

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$\"\"$

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(b) Estimate the maximum allowable percent error in measuring the side if the error in computing the area cannot exceed 2.5.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The maximum allowable percent error in measuring the side is $\"\"$ .

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$\"\"$

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(a) The percent error in computing the area of the square is $\"\"$ .

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(b) The maximum allowable percent error in measuring the side is $\"\"$ .