Question
Inside a square land having perimeter equal to 116
metres, leaving aside a circular land of radius 14 metres, the remaining land needs to be levelled at a cost of 20 rupees per square metre. What is the cost of leveling?Solution
Let the length of each side of the square land = βxβ metres Then, perimeter of the land = 4x = 116 metres So, x = (116/4) = 29 So, area of the square land = x2 = 292 = 841 m2 Area of the circular land = Ο Γ radius2 = (22/7) Γ 14 Γ 14 = 616 m2 Therefore, area to be levelled = 841 β 616 = 225 m2 Cost of leveling = 225 Γ 20 = Rs. 4500
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