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    Question

    A rectangular piece of land has a perimeter of 22 metres

    and length of 5 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 4 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    Let the breadth of the land = ‘b’ metres Then, perimeter of the land = 2 × (5 + b) Or, 2 × (5 + b) = 22 Or, 10 + 2b = 22 Or, 2b = 22 – 10 = 12 So, b = 12/2 = 6 And so, total area of the land = 5 × 6 = 30 m2 So, area of each of the 6 equal portions = 30 ÷ 6 = 5 m2

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