Question

The cost of levelling a square lawn at 15 per square metre is 19,935. Find the
cost of fencing the lawn at 22 per metre.​

Answer 1

Given:-

• Cost of levelling a square lawn at Rs. 15 per m² = Rs. 19,935

To Find:-

• Cost of fencing the lawn at 22 per metre.

Solution:-

For the perimeter of the square lawn:-

${\sf{:\implies\:\dfrac{19,935}{15}}}$

${\sf{:\implies\:\dfrac{3,987}{3}}}$

${\sf{:\implies\:1,329}}$

The perimeter of the square lawn = 1,329m

Now, Cost of fencing the lawn at Rs. 22 per m²:-

${\sf{:\implies\:1,329\times22}}$

${\bf{\boxed{:\implies\:Rs.\:29,238}}}$

Hence, Cost of fencing the lawn at Rs. 22 per m² is Rs. 29,238.

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Answer 2

Answer:

$\large{\underline{\boxed{\sf Rs\: 3207.6}}}$

• Explanation:

Given- that ;

• The cost of levelling is square lawn at ₹15 per square metre is ₹19,935.

Area of square lawn = $\sf \dfrac{Total \: cost}{Cost \: per \: sq \: m}$

⇒ (Side)² = $\sf \dfrac{19935}{15}$

⇒ (side)² = 1329

⇒ side = √1329

⇒ side = 36.45 m

$\sf\overline Thus, \;each \;side\; of\; square\; lawn\; is \;36.45\; metres$

Perimeter of square = 4 * side

⇒ Perimeter = 4 * 36.45

⇒ Perimeter =145.8 m

Now, cost of fencing the lawn at ₹22 per metre = ₹ ( 22 * 145.8 )

⇒ ₹ 3207.6

Hence, the answer is ₹3207.6