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Question
The perimeter of a square plot = 360 m. Find:
- its area.
- cost of fencing its boundary at the rate of ₹ 40 per meter.
- cost of levelling the plot at ₹60 per square meter.
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Solution
Given the perimeter of the square plot = 360 m
Side Length of the Square: `"Side Length" = "Perimeter"/4 = 360/4 = 90 m`
Area of the Square: Area = (Side Length)2 = 902 = 8100 m2
Cost of Fencing: The cost of fencing is calculated as:
Cost of Fencing = Perimeter × Rate per meter.
Cost of Fencing = 360 × 40 = ₹ 14,400.
Cost of Levelling = Area × Rate per square meter.
Substituting the values: Cost of Levelling = 8100 × 60 = ₹ 4,86,000.
- Area of the plot = 8100 m2
- Cost of fencing = ₹ 14,400
- Cost of levelling = ₹ 4,86,000
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