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    Question

    A rectangular piece of land has a perimeter of 56 metres

    and length of 22 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 22 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 21 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the breadth of the land = тАШbтАЩ metres Then, perimeter of the land = 2 ├Ч (22 + b) Or, 2 ├Ч (22 + b) = 56 Or, 44 + 2b = 56 Or, 2b = 56 тАУ 44 = 12 So, b = 12/2 = 6 And so, total area of the land = 22 ├Ч 6 = 132 m2 So, area of each of the 6 equal portions = 132 ├╖ 6 = 22 m2

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