Question

A man walks around a square field. The area of
the field is 625 metres-square. What distance does
the man walk?
(a) 25 m
(b) 50 m
(c) 75 m
(d) 100 m​

Answer 1

Area of the field= 625 m2

so, side length of the square = √625

= 25 m

since square has 4 sides,

the total distance travelled

= no. of sides × side length

= 4 × 25

= 100 m. (option. d)

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

Option (d)

100 m

The man walks 100 m When he walks around the square field.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Area of the Square = 625 m².

To find :

Distance travelled when a walk taken around the square.

Solution :

First we need to find the Measure of the side of the square.

Consider the side as x

★ We know that :

Area of Square = $\tt{Side \times Side}$

$\tt{\implies} \: x \times x = 625$

$\tt{\implies} \: {x}^{2} = 625$

$\tt{\implies} \: x = \sqrt{625}$

$\tt{\implies} \: x = 25$

The Measure of the side = 25 m.

To find the distance travelled by walking around the square, we need to find the Perimeter of Square.

★ Perimeter of Square = $\tt{Side \times 4}$

$\tt{\implies} \: 25 \times 4$

$\tt{\implies} \: 100$

$\therefore$ The man walks 100 m When he walks around the square field.

The answer :

Option (d)

100 m