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    Question

    A rectangular park measuring 24 metres by 18 metres is

    set to have a 2-metre-wide path constructed along its interior perimeter. The cost of construction is Rs. 2.5 per square metre. Calculate the total expense for constructing the path. 
    A Rs. 620 Correct Answer Incorrect Answer
    B Rs. 420 Correct Answer Incorrect Answer
    C Rs. 380 Correct Answer Incorrect Answer
    D Rs. 460 Correct Answer Incorrect Answer

    Solution

    Area of the path = area of the park - area of rectangle formed after formation of path = 24 x 18 - [(24 - 2 x 2) x (18 - 2 x 2) ] = 432 - (20 x 14) = 432 - 280 = 152 m2 So, the cost of building the path = 152 x 2.5 = Rs. 380

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