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    Question

    A rectangular piece of land has a perimeter of 88 metres

    and length of 20 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 85 Correct Answer Incorrect Answer
    B 86 Correct Answer Incorrect Answer
    C 80 Correct Answer Incorrect Answer
    D 89 Correct Answer Incorrect Answer

    Solution

    Let the breadth of the land = β€˜b’ metres Then, perimeter of the land = 2 Γ— (20 + b) Or, 2 Γ— (20 + b) = 88 Or, 40 + 2b = 88 Or, 2b = 88 – 40 = 48 So, b = 48/2 = 24 And so, total area of the land = 20 Γ— 24 = 480 m2 So, area of each of the 6 equal portions = 480 Γ· 6 = 80 m2

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