Question

the area of a square piece of land is 1225 sq m .what is the length of the side​

Answer 1

length of its side is 35 . because area of square= side×side .so 35×35=1225

Answer 2

Given: Area of square is 1225 sq. m.

To find: Length of each sides of square.

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☯ Let length of each side be "x" m.

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$\setlength{\unitlength}{2.2mm}\begin{picture}(10,10)\linethickness{0.5mm}\put(6,2){\dashbox{0.01}(15,15)}\put(3,0){\bf D}\put(3,18){\bf A}\put(23,18){\bf B}\put(23,0){\bf C}\put(23,9){\bf x cm}\put(11,0){\bf x cm}\put(8,9){\footnotesize\bf Area = 1225 sq. m}\end{picture}$

$\bf{\dag}\;{\underline{\frak{As\;we\;know\;that,}}}$

$\star\;{\boxed{\sf{\pink{Area_{\;(square)} = side \times side}}}}$

$:\implies\sf x \times x = 1225$

$:\implies\sf x^2 = 1225$

$:\implies\sf \sqrt{x^2} = \sqrt{1225}\qquad\qquad\bigg\lgroup\bf Taking\:sqrt.\:both\:sides \bigg\rgroup$

$:\implies{\underline{\boxed{\frak{\purple{x = 35\:m}}}}}\;\bigstar$

$\therefore\:{\underline{\sf{Length\:of\:each\:side\:of\: square\:is\: {\textsf{\textbf{35\:m}}}.}}}$

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