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

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 = $\rm \dfrac{Total \: cost}{Cost \: per \: sq \: m}$

⇒ (Side)² = $\sf \dfrac{19935}{15}$

⇒ (side)² = 1329

⇒ side = √1329

⇒ side = 36.45 m

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

Answer 2

Answer:

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

Explanation:

Given,

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

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

⇒ (Side)² = $\sf \dfrac{19935}{15}$

⇒ (side)² = 1329

⇒ side = √1329

⇒ side = 36.45 m

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