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Discussion :: Area

  1. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

    2. A.

    2.91 m
    B.

    3 m
    C.

    5.82 m
    D.

    None of these

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    Answer : Option B

    Explanation :

    Area of the park = (60 x 40) m2 = 2400 m2.

     

    Area of the lawn = 2109 m2.

     

     Area of the crossroads = (2400 - 2109) m2 = 291 m2.

     

        Let the width of the road be x metres. Then,

     

       60x + 40x - x2 = 291

     

     x2 - 100x + 291 = 0

     

     (x - 97)(x - 3) = 0

     

     x = 3.

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