Question

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.​

Answer 1

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

$\boxed{\purple \star \: \sf Perimeter \: of \: Rectangle = (2 \times l) + (2 \times b) }$ and multiply with cost of fence.

• For finding the cost of ploughing, we must first find the Area by the formula of

$\boxed{\red \star \: \sf Perimeter \: of \: Rectangle = l \times b }$ and multiply with cost of ploughing.

• Then, we must add both the cost to get the total cost.

__________________________

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.