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      Question

      A rectangular piece of land has a perimeter of 66 metres

      and length of 21 metres. If the area of the land is to be divided into 7 equal portions, then what will be the area (in m2) of each portion
      A 36 Correct Answer Incorrect Answer
      B 30 Correct Answer Incorrect Answer
      C 34 Correct Answer Incorrect Answer
      D 32 Correct Answer Incorrect Answer

      Solution

      Let the breadth of the land = тАШbтАЩ metres Then, perimeter of the land = 2 ├Ч (21 + b) Or, 2 ├Ч (21 + b) = 66 Or, 42 + 2b = 66 Or, 2b = 66 тАУ 42 = 24 So, b = 24/2 = 12 And so, total area of the land = 21 ├Ч 12 = 252 m2 So, area of each of the 7 equal portions = 252 ├╖ 7 = 36 m2

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