A) \[1\text{ }c{{m}^{2}}~\]
B) \[1.021\text{ }c{{m}^{2}}\]
C) \[1.0201\text{ }c{{m}^{2}}\]
D) \[1.01\text{ }c{{m}^{2}}~\]
Correct Answer: C
Solution :
(c) Side of square \[\text{=}\frac{\text{perimeter}}{\text{4}}\text{=1}\text{.01}\] \[Area={{\left( side \right)}^{2}}={{(1.01)}^{2}}={{(1+0.1)}^{2}}\]\[={{(1+.01)}^{2}}+2\times 1\times .01+{{(.01)}^{2}}\] \[=1+.02+.0001=1.0201\]
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