A man covers a distance of 96 m while going round a square field twice. Find the side of the square ?​

A man covers a distance of 96 m while going round a square field twice. Find the side of the square ?​

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  1. Question :

    A man covers a distance of 96 m while going round a square field twice. Find the side of the square ?

    Answer :

    [tex]\sf\pink{Given:}[/tex]

    • Distance covered by going twice a square field is 96 m .

    [tex]\sf\pink{To\:find:}[/tex]

    • side of the square field ?

    Explanation :

    here ,

    96 m distance is covered by going round twice the square field that is the distance covered is equal to two time it’s perimeter .

    Distance Covered = 2 × Perimeter

    [tex]\\ \longrightarrow\sf{ 96 = 2\times Perimeter }[/tex]

    [tex]\\ \longrightarrow\sf{ \dfrac{96}{2} = Perimeter }[/tex]

    [tex]\\ \longrightarrow\sf{ 48 = Perimeter }[/tex]

    • Therefore the perimeter is 48 m .

    Perimeter = 4 × side

    [tex]\\ \longrightarrow\sf{ 48 = 4\times side }[/tex]

    [tex]\\ \longrightarrow\sf{ \dfrac{48}{4} = side }[/tex]

    [tex]\\ \longrightarrow\sf{ 12 = side }[/tex]

    • Therefore the side is 12 m .
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