Question

the area of a square field is 7744m sq.a man takes 5 round around this field. find the distance covered by him

Answer 1

Given,

Area of a square field=7744 m².


Finding side:

Area=side*side.
Area=side².
7744=side².
√7744=side.
√7744=88=side.

Therefore, side=88 m.

Perimeter of the field=4(side).
=4(88).
=352.

Therefore, perimeter of the field=352 m.


A man takes 5 rounds around this field.

So, distance covered by him in 1 round = perimeter, and in 5 rounds = 5*perimeter.


Total distance covered=5*perimeter.
=5*352.
=1,760 m.

Therefore, he covered a distance of 1,760 m=1.76km.

Answer 2

$\bf \large \it \: Hey \: User!!!$

$\rm given \: area \: of \: the \: square \: field = {7744m}^{2} \\ \rm therefore \: side \times side = {7744m}^{2} \\ \rm > > {side}^{2} = {7744m}^{2} \\ \rm > > side = \sqrt{7744} \\ \rm > > side = 88m \\ \\ \rm according \: to \: the \: question \: we \: have \: to \\ \rm find \: the \: distance \: covered \: by \: the \: man \\ \rm in \: 5 \: rounds. \\ \\ \rm so \: we \: will \: multiply \: the \: perimeter \: of \: \\ \rm the \: square \: field \: to \: find \: the \: distance \\ \rm covered \: in \: 5 \: rounds. \\ \\ \rm hence \: total \: distance \: covered \: by \: the \\ \rm man \: = 5(side \times 4) \\ \rm = 5(88 \times 4) \\ \rm = 5 \times 352 \\ \rm = 1760m$

$\bf \large \it{Cheers!!!}$