Question
The length of a rectangle is 7 metres more than its
width. If the perimeter of the rectangle is 74 metres then what is the area (in m2 ) of the rectangle?Solution
Let the width of the rectangle = ‘x’ metres Then, length of the rectangle = (x + 7) metres Perimeter of the rectangle = 2 × (length + width) Or, 2 × (x + x + 7) = 74 Or, 2x + 2x + 14 = 74 Or, 4x = 74 – 14 = 60 Or, x = 60/4 = 15 m So, area of the rectangle = x × (x + 7) = 15 × 22 = 330 m2
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