Question

The area of a square plot of land is 153 sq. metres. Find the approximate length of the side of the plot. [ Use the square root table ]​

Answer 1

the length of side of the plot=√153

=12.369

Answer 2

$\small \bf \red{hey \: mate \: here \: is \: ur \: ans} \\ \\ \small \bf \red{ \huge \: solution} \\ \\ \small \bf \red{area \: of \: square \: plot \: of \: land = 153} \\ \\ \small \bf \red{as \: we \: know \: that \: } \\ \\ \small \bf \red{area \: of \: square = side \times side} \\ \\ \small \bf \red{ \therefore \: (side)^{2} = 153 } \\ \\ \small \bf \red{side = \sqrt{153} } \\ \\ \small \bf \red{let \: we \: find \: the \: value \: of \: \sqrt{153} } \\ \\ \small \bf \red{as \: we \: can \: write} \\ \\ \small \bf \red{( \sqrt{153}) = \sqrt{144 + 9} } \\ \\ \small \bf \red{using \: this \: formula} \\ \\ \small \bf \red{ \sqrt{x \pm \: y } = \sqrt{x} \pm \: \frac{y}{2 \sqrt{x} } } \\ \\ \small \bf \red{ \sqrt{144 + 9} = \sqrt{144} + \frac{9}{2 \sqrt{144} } } \\ \\ \small \bf \red{ \sqrt{153} = 12 + \frac{9}{2 \times 12} } \\ \\ \small \bf \red{ \sqrt{153} = 12 + \frac{3}{8} } \\ \\ \small \bf \red{ \sqrt{153} = 12 + 0.375 } \\ \\ \small \bf \red{ \sqrt{153} = 1.375 } \\ \\ \small \bf \red{ \sqrt{153} = 1.4 \: (approximately)} \\ \\ \small \bf \red{according \: to \: calculator} \\ \\ \small \bf \red{ \sqrt{153} = 12.369 } \\ \\ \small \bf \red{ \sqrt{153} = 12.4} \\ \\ \small \bf \red{ \therefore \: length \: of \: side = 12.4 \: ans}$