Question

the cost of levelling a square lawn at ₹250 per square meter is ₹17640.find the cost of fencing it at ₹5 per meter​

Answer 1

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

The Cost of Fencing is Rs. 168.

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

Given :

The Rate of levelling = Rs. 250 per m.

Cost of Levelling = Rs. 17640

Fencing rate = Rs. 5 per m.

To Find :

The cost of Fencing

Solution :

First, find the area of the Square. Divide the Cost of Levelling with the Rate of Levelling.

$\sf{\implies} \: 17640 \div 250$

$\sf{\implies} \: 70.56$

The area of the Square is 70.56 m².

$\rule{300}{1.5}$

We can now get the Measure of the side as the area is given.

Consider side as x

★ $\red{\boxed{\sf{\purple{Area = Side \times Side}}}}$

$\tt{\implies} \: 70.56 = x \times x$

$\tt{\implies} \: {x}^{2} = 70.56$

$\tt{\implies} \: x = \sqrt{70.56}$

$\tt{\implies} \: x = 8.4$

Measure of the side = 8.4 m

$\rule{300}{1.5}$

Find the Perimeter of Square -

★ $\red{\boxed{\sf{\purple{Perimeter = Side \times 4}}}}$

$\tt{\implies} \: 8.4 \times 4$

$\tt{\implies} \: 33.6$

$\rule{300}{1.5}$

Multiply the rate of Fencing with the Perimeter as Fencing takes place on the border.

$\tt{\implies} \:33.6 \times 5$

$\tt{\implies} \:168$

$\therefore$ The Cost of Fencing is Rs. 168.

Answer 2

Answer -

Division of 17640 by 250. it will tell the area.

==> 17640 ÷ 250

==> 70.56

Area = 70.56

let side be s

==> s² = 70.56

==> s = √70.56

==> s = 8.4

Find Perimeter :

==> 8.4 × 4

==> 33.6

Multiply by 5

==> 33.6 × 5

==> 168

.°. The cost of Fencing is Rs. 168