Question

The area of a square field is 225 sq.m .Find the cost of fencing the field at ₹12 / m.

Answer 1

Area=(Side)²

(side)²=225 m²

side=√(225)

side=15 m

perimeter=4*side

perimeter=4*15 m

perimeter=60 m

cost of fencing=60*12

cost of fencing=720 rupees

Answer 2

Therefore, the cost of fencing the given square field is ₹720.

Given,

Area of a square field = 225 m².

Rate of fencing the field = ₹12/m.

To find,

Cost of fencing the given field.

Solution,

Firstly, let the side of the given square field be x meters.

The area of the square field is given to be 225 m².

According to our assumption, the area of the field = x².

Now, this should be equal to the given area. So,

x² = 225

⇒ x = $\sqrt{225}$

⇒ x = 15 m.

⇒ the side of the square field = 15 m.

Now, we know that the perimeter of a square (say, P) is given as,

P = 4x

where x unit is the side length of the square.

Since, x = 15 m here,

P = 4 × 15

⇒ P = 60 m.

As the rate of fencing is given to be ₹12/m.

The cost of fencing = 12 × 60

⇒ cost of fencing = ₹720.

Therefore, the cost of fencing the given square field is ₹720.

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