Question

the area of a square is 81 hectares. find the cost of fencing the field with a wire at the rate of $2.25 perimeter

Answer 1

Answer:-

$\red{\bigstar}$ Cost of fencing the field $\large\leadsto\boxed{\tt\green{\ 8100}}$

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• Given:-

• Area of a square field = 81 hectares

• Cost of fencing per metre = $2.25

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• To Find:-

• Cost of fencing around the square field.

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• Solution:-

Given that,

Area of square field = 81 hectares

$\pink{\bigstar}$ $\underline{\boxed{\bf\blue{1 \: hectare = 10000 \: m^2}}}$

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Hence,

➪ Area of square field = 810000 m²

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Now,

We know, for Area of Square

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{Area = (Side)^2}}}$

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➪ $\sf 810000 = (Side)^2$

➪ $\sf Side = \sqrt{810000}$

➪ $\bf Side = 900 \: m$

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Also,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{Perimeter = 4 \times Side}}}$

➪ $\sf Perimeter = 4 \times 900$

➪ $\sf Perimeter = 3600 \: m$

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Given that,

Cost of fencing per metre is $2.25.

Therefore,

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Cost of fencing all around the square field,

➪ $\sf 3600 \times 2.25$

★ $\large{\bf\pink{\ 8100}}$

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Therefore, the cost of fencing all around the square field is $8100

Answer 2

Answer:

the cost of fencing the field is $8100.

Step-by-step explanation:

1 hectares = 10000 m²

so, 81 hectares = 10000 × 81

= 810000 m²

Area of square = a²

so,

810000 = a²

a = _/810000

a = 900

so, side of field = 900 m

perimeter of square = 4×side

so, perimeter = 4 × 900

= 3600 m

cost of fencing the field at the rate of $2.25 :-

3600 × 2.25

= 8100$

therefore, cost of fencing the field is 8100$