The side of a square land was measured as 200 m with a suspected error of 0.04 m. The corresponding error in the computed area of the land will be

8 m^{2}

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16 m^{2}

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2 m^{2}

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4 m^{2}

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Solution

The correct option is B $16 m^{2}$
$A = a^{2}$
$\partial A = 2 a \partial a$

$= 2 \times 200 \times 0.04 = 16 m^{2}$

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The side of a square land was measured as 200 m with a suspected error of 0.04 m. The corresponding error in the computed area of the land will be

The correct option is B 16 m2 A=a2 ∂A=2a∂a =2×200×0.04=16m2

The correct option is B $16 m^{2}$
$A = a^{2}$
$\partial A = 2 a \partial a$

$= 2 \times 200 \times 0.04 = 16 m^{2}$