Question

The cost of fencing a rectangular field at rupees 7.50 per metre is rupees 600 if its length is 24m find its breadth

Answer 1

cost of fencing a rectangular field for rs7.50=
1m
cost of fencing a rectangular field for rs600 = 600/7.5=80m
Length=24m
So Perimeter of rectangular field=80m
2(l+b)=80
2(24+b)=80
24+b=40
b=16m
So, breadth=16m.

Answer 2

Final Answer:

The breadth of the rectangular field is 16m, while the cost of its fencing at rupees 7.50 per metre is rupees 600 and its length is 24m.

Given:

The cost of fencing a rectangular field at rupees 7.50 per metre is rupees 600 and its length is 24m.

To Find:

The breadth of the rectangular field, while the cost of its fencing at rupees 7.50 per metre is rupees 600 and its length is 24m.

Explanation:

The perimeter of the rectangular field​ is equal to twice the sum of its length and breadth.

Step 1 of 3

As per the statement in the given problem, note the following.

• Rupees 7.50 is the cost of fencing the rectangular field of $1$ metre.

• So, Rupees 600 is the cost of fencing the rectangular field of the length (in metres)

$=\frac{600}{7.5} \\=80\;metre$

Step 2 of 3

In accordance with the above data, the following is derived.

$2(length\;+breadth)=80\\(length\;+breadth)=\frac{80}{2} \\length\;+breadth=40\\24+breadth=40\\breadth=40-24\\breadth=16\;m$

Therefore, the required breadth of the rectangular field is 16m, while the cost of its fencing at rupees 7.50 per metre is rupees 600 and its length is 24m.

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