Question

The area of a square field is 256 sq m. How many meters of wire is required to fence it with three rounds.

Answer 1

Answer:

Each side of square = 256m

Perimeter = fencing

Wire needed = 256 × 4

= 1,024.

Answer 2

Given:-

• Area of a Square Field = 256 m²

To Find:-

• Wire required to fence it with three rounds.

Formula Used:-

• ${\boxed{\bf{\red{Area\:of\: Square= Side^2}}}}$

• ${\boxed{\bf{\red{Perimeter\:of\: Square=4\times Side}}}}$

Solution:-

Firstly,

$\sf :\implies\:Area\:of\: Field= Side^2$

$\sf :\implies\:256= Side^2$

$\sf :\implies\:Side= \sqrt{256}$

$\sf :\implies\: Side = 16\:m$

Now,

$\sf :\implies\: Perimeter\:of\: Field= 4\times Side$

$\sf :\implies\: Perimeter\:of\: Field= 4\times 16$

$\sf :\implies\: Perimeter\:of\: Field= 64\:cm$

Wire required to fence it with three rounds:-

$\sf :\implies\: 64 \times 3$

$\sf :\implies\: 192\:m$

Hence, Wire of length 192m is required to fence the field with three rounds.

━━━━━━━━━━━━━━━━━━━━━━━━━