The length and breadth of a rectangle are (5. | vedclass

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Question

Here, $l=(5.7 \pm 0.1) cm , b =(3.4 \pm 0.2) cm$

Area, $A=l 	imes b=5.7 	imes 3.4=19.38 cm ^{2}=19.0 cm ^{2}$

$\frac{\Delta A }{ A }=\pm\left(

Vedclass · Accepted Answer

$(19.38 \pm 1.48) sq.cm$

Vedclass · Answer

Here, $l=(5.7 \pm 0.1) cm , b =(3.4 \pm 0.2) cm$

Area, $A=l 	imes b=5.7 	imes 3.4=19.38 cm ^{2}=19.0 cm ^{2}$

$\frac{\Delta A }{ A }=\pm\left(\frac{\Delta l }{ l }+\frac{\Delta b }{ b }ight)$$=\pm\left(\frac{0.1}{5.7}+\frac{0.2}{3.4}ight)=\pm\left(\frac{0.34+1.14}{5.7 	imes 3.4}ight)$$=\pm \frac{1.48}{19.38}$

$\Rightarrow 	riangle A =\pm \frac{1.48}{19.38} 	imes A =\pm \frac{1.48}{19.38} 	imes 19.38=\pm 1.48$

$	riangle A =\pm 1.5$

Area $=(19.0 \pm 1.5) cm ^{2}$

The length and breadth of a rectangle are $(5.7 \pm 0.1) cm$ and $(3.4 \pm 0.2) cm$, respectively. Calculate the area of rectangle with error limits.

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