the area of a square field is 4096 m^ find the cost of fencing the field at rate of rupees 50 per meter
Answers
Answered by
81
Given :-
The area of a square field is 4096 m². The cost of fencing the field at rate of rupees 50 per meter.
To find :-
Total cost for fencing the field.
Solution :-
- Area of square field = 4096 m²
As we know that
→ Area of square field = side × side
→ Area of square field = a²
→ 4096 = a²
→ a = √4096
→ a = 64 m
Perimeter of square field
→ 4 × side
→ 4 × 64
→ 256m
Now,
The cost of fencing the field at rate of rupees 50 per meter.
→ Total cost for fencing the square field
→ 256 × 50
→ Rs.12800
Hence,
- Total cost for fencing the square field is Rs.12800
Answered by
60
Given
- Area of a square field is 4096 m²
We Find
- The cost of fencing the field at rate of rupees 50 per meter
We knows
- Area of square field = a²
- Perimeter of square field = 4a
so , We knows that
Area of square field = a²
= 4096 = a²
= a = √4096
= a = 64
So, Side of square field is 64 m
And,
We also knows that
Perimeter of square field = 4a
= Perimeter = 4 ( 64 )
= perimeter = 256 m
so, Perimeter of square field is 256 m
According to the question
= Cost of fencing the field at rate of rupees 50 per meter × Perimeter of square field
= 50 × 256
= ₹ 12800
so, cost of Fencing is ₹ 12800
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