Question
Inside a square land having perimeter equal to 76
metres, leaving aside a circular land of radius 7 metres, the remaining land needs to be levelled at a cost of 14 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 = 76 metres So, x = (76/4) = 19 So, area of the square land = x2 = 192 = 361 m2 Area of the circular land = π × radius2 = (22/7) × 7 × 7 = 154 m2 Therefore, area to be levelled = 361 – 154 = 207 m2 Cost of leveling = 207 × 14 = Rs. 2898
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