Question

the length and breadth of a rectangular field are the ratio 3:2 it is the area of the field is 3456 m find the cost of fencing the field 4.50 per metre​

Answer 1

Answer:

The cost of fencing the field = Rs 1080

Step-by-step explanation:

Given that:

• Area of a rectangular field = 3456 m²
• The length and breadth of a rectangular field are the ratio 3 : 2

Let the length and breadth of the rectangular field be 3x and 2x respectively.

Formula used:

Area of rectangle = Length × Breadth sq. unit

Perimeter of rectangle = 2(Length + Breadth) unit

Finding the length and Breadth of the rectangular lawn:

→ 3x × 2x = 3456

→ 6x² = 3456

→ x² = 3456/6

→ x² = 576

→ x² = (24)²

→ x = 24

• Length = 3x = 3 × 24 = 72 m
• Breadth = 2x = 2 × 24 = 48 m

Finding the perimeter of rectangular field:

Perimeter of rectangle = 2(72 + 48) m

Perimeter of rectangle = 2 × 120 m

Perimeter of rectangle = 240 m

Finding the cost of fencing the field at Rs 4.50 per metre:

Cost of fencing 1 m = Rs 4.50

∴ Cost of fencing 240 m = Rs 4.50 × 240

∴ Cost of fencing 240 m = Rs 1080

Answer 2

Answer:

Given :-

• The length and breadth of a rectangular field are in the ratio of 3 : 2 and it's area of the field is 3456 m.

To Find :-

• What is the cost of fencing of the field 4.50 per metre.

Formula Used :-

✯ Perimeter of rectangle = 2(Length + Breadth)

★ Area of rectangle = Length × Breadth

Solution :-

First we have to find the length and breadth of a rectangular field,

Let, the length be 3x

And, the breadth will be 2x

According to the question by using the formula we get,

⇒ 3x × 2x = 3456

⇒ 6 × x² = 3465

⇒ x² = 3465/6

⇒ x² = 576

⇒ x = √576

➠ x = 24

Hence, the required length and breadth are,

✧ Length = 3x = 3(24) = 72 m

✧ Breadth = 2x = 2(24) = 48 m

Again, we have to find the perimeter of a rectangular field,

Given :

• Length = 72 m
• Breadth = 48 m

According to the question by using the formula we get,

↪ Perimeter = 2(72 + 48)

↪ Perimeter = 144 + 96

➤ Perimeter = 240 m

Hence, the perimeter of a rectangular field is 240 m.

Now, we have to find cost of fencing,

As given,

• Cost of fencing field = 4.50 per metre

As we know that,

✪ Cost of fencing field = Perimeter of a rectangular field × Cost of fencing per metre ✪

Given :

• Perimeter = 240 m
• Cost of fencing per metre = 4.50

According to the question by using the formula we get,

↦ Cost of fencing field = 240 m × 4.50

➦ Cost of fencing field = Rs 1080

∴ The cost of fencing of a rectangular field is Rs 1080 .