Question

The area of a square plot is 6084 sq. m . Find the length of the wire which can go four times along the boundry of the plot.

Answer 1

Area of square=(side)^2
6084=(side)^2
Therefore,side=78m.
Perimeter=4×side
=4×78
=312m.
Therefore,length of wire=312m.
Hope it helps.

Answer 2

$let \: a \: be \: each \: side \: of \: square \: plot \: \\ \\ area \: of \: square \: plot \: = a {}^{2} \\ \\ a {}^{2} = 6084 \: m {}^{2} \\ \\ a = \sqrt{6084 } \\ \\ = > a = 78m \\ \\ = > each \: side \: of \: square \: plot \: = 78m \\ \\ = > \: perimeter \: of \: square \: = 4a \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4(78) = 312 \: m \\ \\ length \: of \: wire \: which \: can \: go \: four \: times \: a \: long \: boundary \: of \: plot \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 312 \times 4 = > 1248 \: m$


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