a) Prabhu has a rectangular farm which has a length of 18 m and a breadth of 12 m.
The cost of fencing the farm is 30 per sq. m and the cost of ploughing the farm is
₹90 per sq. m. Find the total cost Prabhu must pay to fence and plough the farm.
Answers
Before, finding the answer. Let's find out on how we can find the answer.
- For finding the cost of fencing, we must first find the Perimeter of farm by the forumla of
and multiply with cost of fence.
- For finding the cost of ploughing, we must first find the Area by the formula of
and multiply with cost of ploughing.
- Then, we must add both the cost to get the total cost.
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Given :
- Length of Rectangular farm = 18 m
- Breadth of Rectangular farm = 12 m
- Cost of fencing = ₹ 30 per m
- Cost of ploughing = ₹ 90 per sq.m
To find :
- Total cost to pay for fencing and ploughing the farm.
Solution :
Perimeter of Rectangular Farm = (2 × l) + (2 × b)
= (2 × 18) + (2 × 12)
= 36 + 24 m
= 60 m
Rate for fencing the farm = perimeter × rate
= 60 × 30
= ₹ 1800
Hence, the cost for Fencing is ₹ 1800.
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Area of Rectangular Farm = l × b
= 18 × 12 sq.m
= 216 sq.m
Hence, the area of rectangular farm is 216 sq.m
Rate for ploughing the farm = area × rate
= 216 × 90
= ₹ 19440
Hence, the cost for ploughing is ₹ 19440.
Total cost = Cost of fencing + Cost of Ploughing
= ₹ 1800 + 19440
= ₹ 21240
Hence, total cost is ₹ 21240.