Question

The length and breadth of rectangler field ate in
in ratio 4:3 ble area
is 6,912m² hind the
cast of fencing the field at 22. so permeten.​

Answer 1

correct your questions pls

Answer 2

Correct Question :-

The length and breadth of rectangular field are in ratio 4:3. If the area is 6,912 sq. m, then find the cost of fencing the field at ₹22.50 per m.

Answer :-

Cost of fencing the field = ₹7560.

Explanation :-

Given :

• Ratio of Length and Breadth = 4:3.
• Area of field = 6912 sq. m.

To Find :

• Cost of fencing the field.

Solution :

Let,

• Length of field = 4x.
• Breadth of field = 3x.

According to the Question,

L × B = Area of Rectangle.

➞ 4x × 3x = 6912 sq.m.

➞ 12x² = 6912 sq.m.

➞ x² = 6912 ÷ 12.

➞ x² = 576.

➞ x = √576.

➞ x = 24 m.

Hence,

• Length of field = 4x = 96 m.
• Breadth of field = 3x = 72 m.

We have to find the Cost of fencing the field.

So, Firstly, We have to find the Perimeter.

Perimeter of Rectangle = 2(l + b).

➞ Perimeter = 2(96 + 72).

➞ Perimeter = 2(168).

➞ Perimeter = 336 m.

Now,

Cost of fencing at 1 m field = ₹22.50.

➞ Cost of fencing 336 m field = ₹(22.50 × 336)

➞ Cost of fencing 336 m field = ₹7560.

Therefore, Cost of fencing the field = ₹7560.