Math, asked by khuranatanya1303, 6 hours ago

Find the cost of putting a wire along the boundary of a square field of area 32400m,if the wire costs RS.50 per m.

Answers

Answered by sumanjakhar011289
10

Answer:

Area of the square field = 625 hectares.

1 hectare = 10000 m².

Cost of fencing the wire = ₹15 per meter.

To Find:-

The total cost of fencing.

Formulas Used:-

↦ Area of square = Side.

↦ Perimeter of square = 4 × Side.

Let the side of the field be S.

So Here,

↦ Area of the field = 625 hectares.

↦ S × S = (625 × 10000) m².

↦ S² = 6250000 m².

↦ S = √6250000 m².

↦ S = 2,500 m.

❀ Therefore the side of the field is 2,500 meters.

Now,

↦ Perimeter of the field = 4 × Side.

= 4 × 2,500 m.

= 1000 m.

Also,

❀ Cost of fencing one meter = ₹15.

So cost of fencing 1000 m:-

= ₹ 15 × 1000 m.

= ₹ 15000.

❝So the total cost of fencing the field is ₹ 15000.❞

Step-by-step explanation:

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Answered by sushmadhkl
1

Answer:

The cost of putting a wire along the boundary of a square field of area 32400m, if the wire costs RS.50 per m is Rs.36,000.

Step-by-step explanation:

Given

Area of a square field(A)=32400m

Cost of putting wire per m (C)=Rs. 50

To find the total cost of putting a wire along the boundary of a square field

Solution:

Area of a square field is given as,

Area(A)=length^{2}

32400=l²

Taking square root on both sides

or, √l² = √32400

l=180 m

Again

Perimeter of square field is given as

Perimeter(P)=4xlength(l)

Perimeter=4x180

P=720 m

Then

Total cost can be calculated by

Total cost=Cost/m  x Perimeter

Total cost=50x720

=Rs.36000

Hence, the total cost of Rs. 36000 should be spent to put a wire along the boundary of a square field.

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