Question

The area of a rectangular field is 4 hectare. Find its length if the breadth is 160 m. Also, find the
cost of fencing its boundary at the rate of 5.20 per metre. (1 hectare = 10000 sq m)​

Answer 1

Step-by-step explanation:

40000 sq m = l × 160 m

l = 40000÷ 160

l= 250 m

Answer 2

Given :-

• The area of a rectangle field is 4 hectare and its breadth is 160 m and its boundary at the rate of Rs 5.20 per metre. (1 hectare = 10000 sq m)

To Find :-

• What is the length and the cost of fencing it's boundary.

Solution :-

Area of a rectangle field is 4 hectare.

We know that,

1 hectare = 10000 sq m

Then, 4 hectare = 4 × 10000 m² = 40000 m²

Now, we know that,

★ Area = Length × Breadth ★

Given :-

• Area = 40000 m²
• Breadth = 160 m

According to the question by using the formula we get,

⇒ Length × 160 = 40000

⇒ Length = 40000/160

➠ Length = 250 m

∴ The length of a rectangular field is 250 m .

Again, we know that,

✪ Perimeter = 2(Length × Breadth) ✪

Given :

Length = 250 m

Breadth = 160 m

According to the question by using the formula we get,

↦ Perimeter = 2(250 + 160)

↦ Perimeter = 2(410)

↦ Perimeter = 2 × 410

➦ Perimeter = 820 m

Now, we have to find the cost of fencing,

Given :

Perimeter = 820 m

Rate = Rs 5.20 per metre

According to the question,

↪ Cost of fencing = 5.20 × 820

➤ Cost of fencing = Rs 4264

∴ The cost of fencing it's boundary is Rs 4264 .