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  1. The ratio of length and breadth of a rectangular park is 4:2. If a cat running along the boundary of the park at the speed of 18 km/hr completes one round in 10 minutes, find the area of the park in square meters.

    2. A.
    50000 sq. m.
    B.
    45000 sq. m.
    C.
    68000 sq. m.
    D.
    55000 sq. m.

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    Answer : Option A

    Explanation :

    One round of the park is equal to the perimeter of the park.

    So, by completing one round, the cat covers a distance equal to the perimeter of the park.

    Now, Distance or perimeter = speed * time
                                                = 18 * (10/60)
                                                = 3 km or 3000 meters

    Let Length = 4x and breadth = 2x

    So, Perimeter: 2 (4x + 2x) = 3000
    8x + 4x = 3000
    12x = 3000
    x= 3000/12= 250 meters

    So, Length = 4 * 250 = 1000 meters

    And, Breadth = 2 * 250 = 500 meters

    Area = Length * Breadth
          = 1000 * 500
          = 50000 sq. m.

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