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    Question

    A rectangular piece of land has a perimeter of 46 metres

    and length of 18 metres. If the area of the land is to be divided into 6 equal portions, then what will be the area (in m2) of each portion
    A 10 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 15 Correct Answer Incorrect Answer
    D 19 Correct Answer Incorrect Answer

    Solution

    Let the breadth of the land = ‘b’ metres Then, perimeter of the land = 2 × (18 + b) Or, 2 × (18 + b) = 46 Or, 36 + 2b = 46 Or, 2b = 46 – 36 = 10 So, b = 10/2 = 5 And so, total area of the land = 18 × 5 = 90 m2 So, area of each of the 6 equal portions = 90 ÷ 6 = 15 m2

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