Question

The cost of fencing of square garden is Rs. 5 per meter. The area of square garden is 64 sq.cm. Find the cost of fencing

Answer 1

Answer:

$\boxed{\red{\bf{Cost\:of\:fencing\:=\:Rs\: 1.6}}}$

Step-by-step explanation:

Let the length of the side of the square garden me a metre.

Now,

Length of garden to be fenced = Perimeter of the square garden.

⇒ Length of garden to be fenced = 4a metres.

It is given that,

Cost of fencing 1 m = Rs 5.

Then,

Cost of fencing the garden = Rs (5 * 4a)

⇒ Cost of fencing the garden = Rs (20 a).

According to the question,

Area of garden = 64 cm²

⇒ (side)² = 64 cm²

⇒ Side of square garden = ±√64 cm²

⇒ Side of square garden = ± 8 cm

Taking the positive value, side of the square garden is 8 cm.

[Since, the rate of fencing the garden is given in metre, we will change its side into metre.]

⇒ Side of square garden = 0.08 metres.

Cost of fencing the garden = Rs (20 a)

⇒ Cost = Rs (20 * 0.08)

∴ Cost = Rs 1.6

Hence, the cost of fencing the garden is Rs 1.6.