Question

It costs ₹8704 to fence a square field at the rate of ₹8.5 per metre. Find the area of the field

Answer 1

Here , Total cost of fencing = Rs 8704
Rate given = Rs 8.5 / metre
Perimeter of the square field = 8704/8.5
Here perimeter is 1024 metre.
Now ,Each side = 1024/4 m = 256 m .
Thus, Area of the field = 256*256 sq.m.
i.e. 65,536 sq.m.

Answer 2

The area of the square field is  65536 m²

Given:

It costs ₹8704 to fence a square field at the rate of ₹8.5 per meter.  

To find:

Find the area of the field

Solution:

Formula used:

Perimeter of square = 4 × Side

Area of square = (side)²

Given that

It costs ₹8704 to fence a square field at the rate of ₹8.5 per meter  

The perimeter of the field

= Total cost/ Rate of cost

= 8704/8.5 = 1024

As we know,

The Perimeter of the square field = 4 × side  

=> 4 × side = 1024    

=> side of square field = 1024/4 = 256 meters  

By the given formula, Area = side²

Area of square field = (256 m)² = 65536 m²

Therefore,

The area of the square field is  65536 m²

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