Question
The length of a rectangle is 5 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 + 5) metres Perimeter of the rectangle = 2 × (length + width) Or, 2 × (x + x + 5) = 50 Or, 2x + 2x + 10 = 50 Or, 4x = 50 – 10 = 40 Or, x = 40/4 = 10m So, area of the rectangle = x × (x + 5) = 10 × 15 = 150 m2
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