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?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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