Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    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?

    ক)
    1
    খ)
    2
    গ)
    3
    ঘ)
    4

    Explanation

    Area of the park = (60 x 40) = 2400 m2m^2 Area of the lawn = 2109 m2m^2 Area of the crossroads = (2400 - 2109) = 291 m2m^2 Let the width of the road be x metres. Then, 60x+40x−X2=29160x+40x-X^2=291 x2−100x+291=0x^2-100x+291=0 (x - 97)(x - 3) = 0 x = 3.

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