Question

find the area of the square find whose area is 125 / 144 metre square​

Answer 1

$\huge\underline{\bigstar\:\textsf{Question:}}$

find the area of the square find whose area is $\frac{125}{144}$ metre square

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♡Reference of image is in diagram

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.2,2){\mathsf{\large{1.3225 m}}}\put(7.7,1){\large{B}}\put(9,0.7){\matsf{\large{1.3225m}}}\put(10.6,1){\large{C}}\put(8,1){\line(1,0){2.5}}\put(8,1){\line(0,2){2}}\put(10.5,1){\line(0,3){2}}\put(8,3){\line(3,0){2.5}}\put(10.6,3){\large{D}}\end{picture}$

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$\huge\underline{\bigstar\:\textsf{Answer:}}$

$\star\normalsize\sf\ Side \: of \: square = \frac{125}{144} m \\ \\ \:\:\:\:\:\:\:\:\:\:\qquad\sf\ = \frac{\cancel{125}}{\cancel{144}} =8.5m$

$\underline{\bigstar\:\textsf{Area \: of \: Square:}}$

$\normalsize\ : \implies\sf\ Area \: of \: square \: = (side)^2\\\\\\\normalsize\ : \implies\sf\ Area \: = \: (1.15)^2\\\\\\\normalsize\ : \implies\sf\ Area \: = 1.15 \times\ 1.15\\\\\\\normalsize\ : \implies\sf\ Area \: = 1.3225\\\\\\\normalsize\ : \implies{\underline{\boxed{\sf \red{Area \: = 1.3225 \: m^2}}}}$

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Answer 2

$find \: te \: side \: of \: the \: square \: whose \: area \: is \: \frac{125}{144} {m}^{2} \\ \\ area \: of \: square = {side}^{2} \\ \\ \frac{125}{144} = {side}^{2} \\ \\ side \: of \: square = \sqrt{ \frac{125}{144} } = \frac{ 5\sqrt{5} }{12} cm$