Mathematics

If the cost of fencing a square plot at the rate of ₹ 30 per metre is ₹ 2400, then find the length of each side of the field.

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Given:

Total cost of fencing = ₹ 2400

Rate of fencing = ₹ 30 per metre

Perimeter of square plot = $\dfrac{\text{Total cost}}{\text{Rate}}$

= $\dfrac{2400}{30}$

= 80 m

Perimeter of square = 4 × side

⇒ 80 = 4 × side

⇒ side = $\dfrac{80}{4}$

⇒ side = 20 m

Hence, the length of each side of the field is 20 m.

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