Question
Inside a square land having perimeter equal to 120
metres, leaving aside a circular land of radius 14 metres, the remaining land needs to be levelled at a cost of 28 rupees per square metre. What is the cost of leveling?Solution
Let the length of each side of the square land = ‘x’ metres Then, perimeter of the land = 4x = 120 metres So, x = (120/4) = 30 So, area of the square land = x2 = 302 = 900 m2 Area of the circular land = π × radius2 = (22/7) × 14 × 14 = 616 m2 Therefore, area to be levelled = 900 – 616 = 284 m2 Cost of leveling = 284 × 28 = Rs. 7952
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