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    Question

    The length of a rectangle is 9 metres more than its

    width. If the perimeter of the rectangle is 50 metres then what is the area (in m2 ) of the rectangle?
    A 150 Correct Answer Incorrect Answer
    B 216 Correct Answer Incorrect Answer
    C 304 Correct Answer Incorrect Answer
    D 136 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the width of the rectangle = ‘x’ metres Then, length of the rectangle = (x + 9) metres Perimeter of the rectangle = 2 × (length + width) Or, 2 × (x + x + 9) = 50 Or, 2x + 2x + 18 = 50 Or, 4x = 50 – 18 = 32 Or, x = 32/4 = 8 m So, area of the rectangle = x × (x + 9) = 8 × 17 = 136 m2

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