Question

Find the length of a side of a square lot whose area is 50 square meters

Answer 1

$Let \: length \: of \: a \: side \: of \: a \: square \\= a \: metre$

$Area \: of \: the \: square = 50 \: m^{2} \: (given)$

$\implies a^{2} = 50 \: m^{2}$

$\implies a = \sqrt{ 50 \: m^{2}} \\= \sqrt{ 2 \times 5 \times 5 \: m^{2} } \\= 5\sqrt{2} \:m \\\approx 5 \times 1.414 \\\approx 7.07\: m$

Therefore.,

$\red{ Side \: of \:the \: square } \\= 5\sqrt{2} \: m \\\green { \approx 7.07\: m }$

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