Question

The area of a square field is 225 m 2 . Find the distance covered by a man going around the field seven times

Answer 1

QUESTION :

The area of a square field is 225 m 2 . Find the distance covered by a man going around the field seven times.

ANSWER:

FORMULA USED :

$area \: of \: square = side \times side$

$perimeter \: of \: square = 4 \times side$

CONCEPT OF THE QUESTION :

FIRSTLY , WE HAVE TO FIND THE SIDE THEN WE FIND PERIMETER AS MAN MOVES AROUND THE BOUNDARY.

SO,

$area \: of \: square = 225 {m}^{2} \\ {side}^{2} = 225 {m}^{2} \\ side = \sqrt[2]{225} \\ side = 15m$

NOW, WE HAVE TO FIND PERIMETER.

PERIMETER OF SQUARE = 4 × SIDE

PERIMETER OF SQUARE = 4×15 M.

PERIMETER OF SQUARE = 60 M.

60 M COMPLETES ONE ROUND.

DISTANCE COVERED BY THE MAN WHEN HE TAKES SEVEN ROUNDS =

PERIMETER OF FILED × NO OF

ROUNDS.

60 M × 7

420 M.

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FINAL ANSWER IS 420 m.