6th Class Mental Ability Mensuration Question Bank Mensuration

  • question_answer
    A rectangular garden is 65 m long and 50 m wide. Two cross paths each of 2 m wide are to be reconstructed which are parallels to the sides. If these paths pass through the centre of the garden. Find the cost of reconstruction of the paths at the rate of \[\mathbf{69}\text{ }\mathbf{per}\text{ }{{\mathbf{m}}^{\mathbf{2}}}\].

    A) Rs. 1600            

    B)        Rs. 15795

    C) Rs. 15594      

    D)        Rs. 1200

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct. Area of the path \[=2\left( 24\times 2 \right)+2\left( 31.50\times 2 \right)+{{2}^{2}}\] \[=96+126+4=226{{m}^{2}}.\] Hence, the construction cost of the path at \[\text{Rs}.69\] per \[{{m}^{2}}=226\times 69=Rs.\,15594.\]   


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