the length of a rectangular field who is twice its breadth and its area is 2 hectare find the cost of fencing the field at 50 rupees per metre
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Answer:
Step-by-step explanation:
Let breadth be a
Let length be 2a
1 hectare = 10,000 sq.m
2 hectare = 10,000 x 2
= 20,000 sq.m
Area of rectangle = length x breadth
20,000 = 2a x a
20,000 = 2a^2
20,000/2 = a^2
10,000 = a^2
root10,000 = a
100 = a
Therefore, breadth = a = 100 metres
length = 2a = 2 x 100 = 200 metres
Perimeter = 2(length + breadth)
= 2(200 + 100)
= 2 x 300
= 600 sq.m
Cost per sq.m = rupees 50
Total cost = Perimeter x Cost per sq.m
= 600 x 50
= 30,000 rupees
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