Question

The cost of fencing a square field at the rate of square field at the rate of Rs.85 per meter is Rs. 76,500. find the side of the square field. *​

Answer 1

Answer:

Cost of fencing = ₹67,500

So the length of fence = 67,500/75=900 m.

We know that the perimeter of square field = length of fence = 900 m.

Here,

Perimeter of a square = 4 * Length of its side,

Substituting the values,

Length of the side of a square = Perimeter/4,

So we get,

=900/4

=225 m.

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Answer 2

Step-by-step explanation:

Given:-

The cost of fencing a square field at the rate of square field at the rate of Rs.85 per meter is Rs. 76,500.

To find:-

find the side of the square field?

Solution:-

Let the side of a square be X m

Area of the square =Side×Side sq.units

=>Area of the given square field=X×X=X² sq.m

The cost of fencing a square field at the rate of Rs.85 per meter

The cost of fencing the given square field for X² sq.m=X²×85

=>Rs.85X²

According to the given problem,

Total cost of fencing the square field=Rs.76500

=>85X²=76500

=>X²=76500/85

=>X²=900

=>X=±√900

=>X=±30

X can not be negative,since it is the length of the field

Therefore,X=30 cm

Answer:-

The side of the given square field=30 cm

Check:-

Side =30 cm

Area of the field=30×30=900 Sq.m

Total cost of fencing the field for 1 sq.m=85

Total cost of fencing the entire field=900×85

=>Rs.76,500

verified the given relations.

Used formula:-

• The area of the square=side×side sq.units
• The side of a square is "a" units then the area of the square is a² sq.units.