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      Question

      The length of a rectangle is 3 metres more than its

      width. If the perimeter of the rectangle is 78 metres then what is the area (in m2Β ) of the rectangle?
      A 330 Correct Answer Incorrect Answer
      B 378 Correct Answer Incorrect Answer
      C 304 Correct Answer Incorrect Answer
      D 136 Correct Answer Incorrect Answer

      Solution

      Let the width of the rectangle = β€˜x’ metres Then, length of the rectangle = (x + 3) metres Perimeter of the rectangle = 2 Γ— (length + width) Or, 2 Γ— (x + x + 3) = 78 Or, 2x + 2x + 6 = 78 Or, 4x = 78 – 6 = 72 Or, x = 72/4 = 18 m So, area of the rectangle = x Γ— (x + 3) = 18 Γ— 21 = 378 m2

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