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    Question

    A rectangular piece of land has a perimeter of 23 metres

    and length of 10 metres. If the area of the land is to be divided into 3 equal portions, then what will be the area (in m2) of each portion
    A 4 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the breadth of the land = ‘b’ metres Then, perimeter of the land = 2 × (10 + b) Or, 2 × (10 + b) = 23 Or, 20 + 2b = 23 Or, 2b = 23 – 20 = 3 So, b = 3/2 = 1.5 And so, total area of the land = 10 × 1.5 = 15 m2 So, area of each of the 3 equal portions = 15 ÷ 3 = 5 m2

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