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6.Find the length of the side of a square whose area is \(441 m^2\)
Answer :

Let the length of the side of the square be x m.
So we have, Area of the square = \((side)^2 = x^2\; m^2\)

\(x^2 = 441 \)

\(\qquad \begin{array}{c|lcr} &21\\ \hline 2 &\;\; \;\bar{4}\bar{41}\\ &-4\\ \hline 41 &\;\;\; 41\\ &\;\;\;41\\ \hline &\;\;\;0\\ \hline \end{array} \)

\(\Rightarrow x =\sqrt{441} = 21\)

Hence the length of the side of square = 21 m.