Question

The length and breadth of a rectangular field are 110m and 85m respectively. Find the perimeter of the field. How much will it cost to fence the field at the rate of Rs. 25 per metre ?

Answer 1

Hint:- We had to find the perimeter of a rectangle field which is perimeter = 2(length + breadth). And then multiply that with the cost of fence per metre to get the total cost.
As we know that we are given with the length and breadth of the rectangle that is 110 m and 85 m.

Complete step-by-step answer:

And according to the perimeter of any shape, perimeter is the sum of its all sides, or we can say that it is the length of the boundaries of the shape.

A rectangle is a 2D shape whose opposite sides are of equal lengths. And whose diagonals lengths are equal.

And diagonal is the line formed by joining two opposite vertices of the rectangle.

And the length and breadth of the rectangle are its two adjacent sides.

So, the perimeter of the rectangle should be = length + breadth + length + breadth = 2(length + breadth)

So, let us draw the rectangular field whose length and breadth are given.

So, let the perimeter of the rectangular field be = x m.

So, x = 2(110 + 85) = 390 m

Hence, the perimeter of the rectangular field whose length is 110 m and breadth is 85 m will be 390 m.

Now as we know that we had to find the cost of fencing the field.

And as we know that the fencing is done on the boundary of any field. So, the fencing should be done on the perimeter of the field.

As we are given that the cost of fencing is Rs. 25 per metre.

So, the total cost of fencing the field will be equal to Rs. 390*25 = Rs. 9750

Hence, the cost of fencing the field is Rs. 9750.

Note:- Whenever we come up with this type of question then we should remember that the perimeter of any shape (figure) is the sum of the length of all its sides. And there are four sides in a rectangle out of which opposite sides are equal and adjacent sides are different. And the adjacent sides of the rectangle are known as length and breadth. So, the formula for the perimeter of the rectangle is 2(length + breadth). So, we put the value of length and breadth of the rectangular field in the formula of the perimeter of the rectangle to get the required value of the perimeter of the field. And now fencing is always done on the boundary of any field. So, in this rectangular field the length on which fencing is done should be equal to the perimeter of the field. So, the total cost of fencing will be the product of cost of fencing per metre and the perimeter of the field.