MathematicsA 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. What is the cost of gravelling the roads at ₹60 per m 2  ?

A 115 -m-long and 64 -m-broad lawn has two roads at right angles, one 2m wide, running parallel to its length, and the other 2.5m wide, running parallel to its breadth. What is the cost of gravelling the roads at ₹60 per m 2  ?


  1. A
    ₹21300
  2. B
    ₹23100
  3. C
    ₹23300
  4. D
    ₹21100 

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    Solution:

    Given that, the rectangular lawn 115m by 64 m has two roads one 2 m wide running through parallel to its length and the other 2.5m wide parallel to its breadth.
    The area of the roads = Area of road parallel to length + area of road parallel to breadth – area of common road.
    ⇒(115×2)+(64×2.5)-(2×2.5)
    ⇒230+160-5
    ⇒390-5
    ⇒385m2
    Calculating the cost of gravelling the road = Area of the roads × ₹60 per m2.
    ⇒(385×₹60)
    ⇒₹23100
    The construction cost in total is ₹23100.
    Therefore, option 2 is correct.
     

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