A) \[9.378\,\,{{m}^{2}}\]
B) \[9.37{{m}^{2}}\]
C) \[9.378248\,\,{{m}^{2}}\]
D) \[9.3782{{m}^{2}}\]
Correct Answer: A
Solution :
Significant figures is a method of expressing error in measurement. Significant figures follow certain set of rules. That is any zeros that are between non-zeros are also considered significant. Hence, breadth of metal \[\operatorname{b}= 3.002 m\] has four significant figures. Also all non-zero digits are significant, \[\therefore \] Length of metal = 3.124 m has four significant figures. Since, length and breadth have four significant figures, therefore \[\operatorname{Area} = length \times breadth\] \[=\,\,\,\,3.124\,\,\times \,\,3.002\] \[=\text{ }9.378248\] Hence, will also have four significant figures. Therefore, \[\operatorname{area}\,\,=\,\,9.378\,\,{{m}^{2}}\]
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