Question

The length and breath of a rectangular feild
are in the ratio 3:2. If the area of a feild is 3456 m² Find the cost of fencing it @ Rs 60 per m​

Answer 1

Answer:

The cost of fencing is ₹11,520

Explanation :

Question says that,

Area of a rectangle is 3456m²

And, length : breadth = 3 : 2

It is need to be fenced all around @₹60 per metre.

Find the cost of fencing.

Let's assume the dimensions of the rectangle

• length = $3x$
• breadth = $2x$

We know that,

Area of the rectangle = $3x \times 2x$

But, area is 3456(given)

According to the question :

$\implies 3456 = 3x \times 2x$

$\implies 3456 = {6x}^{2}$

$\implies \frac{3456}{6} = {x}^{2}$

$\implies 576 = {x}^{2}$

$\implies \sqrt{576} = x$

$\implies 24 = x$

Hence,

The length is $: 3x = \bf 3(24) = 72m$

And breadth $: 2x = \bf 2(24) = 48m$

Now,

Fencing all around = perimeter of the rectangle

Or,

★ Required fencing :

→ 2(l + b)

→ 2(72 + 24)

→ 2(96)

→ 192metre.

Since, 1 metre of fencing costs ₹60

Therefore, 192m of fencing will be : 60 × 192

→ 11,520

The cost of fencing is ₹11,520.