Question

A rectangular garden is 175 m long and 96 m broad. Find the cost of fencing it at 17.50 per
metre. Also find the cost of ploughing it at 4.50 paise per square metre​

Answer 1

Given :

• Length of garden = 175 m
• Breadth of garden = 96 m
• Cost of fencing = 17.50 unit/m
• Cost of ploughing = 4.50 paise/m²

To find :

• Total cost of fencing
• Total cost of ploughing

Formula used :

• Area of rectangle = length× breadth
• Perimeter of rectangle = 2×(length + breadth)

Procedure -

• Fencing will be done along the walls of garden. Therefore we need to find perimeter of garden and then multiply it with cost per unit length
• Ploughing will be done inside of garden that is around its area . So find area and multiply it with cost of ploughing per unit area

Solution :

Part 1) Cost of Fencing -

➝ Perimeter of garden = 2×(175m +96m)

➝ Perimeter of garden = 2(271m)

➝ Perimeter of garden = 542 m

Total Cost of fencing garden = 542m × 17.5 unit/m

➝ Total Cost of fencing garden = 9485 unit

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Part 2) Cost of ploughing -

➝ Area of garden = 175m × 96m

➝ Area of garden = 16800 m²

Total cost of ploughing = 16800 m² × 4.5 paise/m²

➝ Total Cost of ploughing = 75600 paise

➝ Total Cost of ploughing = ₹ 756

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ANSWER :

• Total cost of fencing = 9485 units
• Total cost of ploughing = ₹756