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    Question

    A rectangular piece of land has a perimeter of 55 metres

    and length of 24 metres. If the area of the land is to be divided into 4 equal portions, then what will be the area (in m2) of each portion
    A 20 Correct Answer Incorrect Answer
    B 19 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 21 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 (24 + b) Or, 2 ├Ч (24 + b) = 55 Or, 48 + 2b = 55 Or, 2b = 55 тАУ 48 = 7 So, b = 7/2 = 3.5 And so, total area of the land = 24 ├Ч 3.5 = 84 m2 So, area of each of the 4 equal portions = 84 ├╖ 4 = 21 m2

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