Question

1. The area of a square field is 9 hectares. Find the
cost of fencing it at the rate of 32 per metre.​

Answer 1

Answer:

I hope it's help you. ......

Answer 2

GiveN:-

The area of a square field is 9 hectares.

To FinD:-

Find the cost of fencing it at the rate of 32 per metre.

SolutioN:-

It is given that the area is 9 hectares.

We know that,

• 1 hectare = 10000 m².
• So, 9 hectares = 9 × 10000 = 90000 m².

We know,

$\large{\green{\underline{\boxed{\bf{Area\:of\:square=side\times\:side}}}}}$

where,

• Area = 90000 m².
• Side = ?

Putting the values,

$\large\implies{\sf{90000=side^2}}$

Square rooting both the sides,

$\large\implies{\sf{\sqrt{90000}=side}}$

$\large\implies{\sf{300=side}}$

$\large\therefore\boxed{\bf{Side=300\:m.}}$

For fencing we need to find the perimeter.

We know that,

$\large{\green{\underline{\boxed{\bf{Perimeter\:of\:square=4\times\:side}}}}}$

where,

• Side = 300 m.

Putting the values,

$\large\implies{\sf{Perimeter\:of\:square=4\times\:300}}$

$\large\therefore\boxed{\bf{Perimeter\:of\:square=1200\:m.}}$

Now the cost:-

$\large{\green{\underline{\boxed{\bf{Cost\:of\:fencing=Cost\:per\:m\times\:Perimeter}}}}}$

where,

• Perimeter = 1200 m.
• Cost per m = ₹32

Putting the values,

$\large\implies{\sf{Cost\:of\:fencing=32\times1200}}$

$\large\therefore\boxed{\bf{Cost\:of\:fencing=Rs.38400.}}$

The cost of fencing the field is Rs.38,400.