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The area of Rectangle field is 4 hectare . Find its length if the breadth is 160 m. Also, find the cost of fencing its boundary at the rate of ₹ 5.20 per meter. (1 hectare = 10000 sq m )?
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The area of Rectangle field is 4 hectare . Find its length if the brea...
Given:
The area of the rectangle field = 4 hectares
The breadth of the field = 160 m
Rate of fencing per meter = ₹ 5.20

To find:
1. Length of the field
2. Cost of fencing the boundary

Solution:

Step 1: Convert the area from hectares to square meters
Given that 1 hectare = 10000 sq m
So, the area of the field in square meters = 4 hectares x 10000 sq m/hectare = 40000 sq m

Step 2: Use the formula for the area of a rectangle to find the length
Area = Length x Breadth
40000 sq m = Length x 160 m
Length = 40000 sq m / 160 m
Length = 250 m

Therefore, the length of the field is 250 m.

Step 3: Calculate the perimeter of the rectangle
Perimeter = 2 x (Length + Breadth)
Perimeter = 2 x (250 m + 160 m)
Perimeter = 2 x 410 m
Perimeter = 820 m

Step 4: Calculate the cost of fencing the boundary
Cost of fencing = Perimeter x Rate per meter
Cost of fencing = 820 m x ₹ 5.20/m
Cost of fencing = ₹ 4264

Therefore, the cost of fencing the boundary is ₹ 4264.

Summary:
The length of the field is 250 m and the cost of fencing its boundary at the rate of ₹ 5.20 per meter is ₹ 4264.
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The area of Rectangle field is 4 hectare . Find its length if the breadth is 160 m. Also, find the cost of fencing its boundary at the rate of ₹ 5.20 per meter. (1 hectare = 10000 sq m )?
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