Question

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

Answer 1

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:

l=72m

b=48m

couldn't find the cost as the cost per m is not given

Step-by-step explanation:

3x×2x=3456

6x^2=3456

x^2=3456/6

x^2=576

x=root of 576

x=24m

therefore length=3x=72m

breadth=2x=48m

perimeter for fencing=2 (l+b)

=2 (72+48)

=2 (120)

=240m

cost of fencing= cost per metre× perimeter